The Line Perpendicular To Y= (-3/2)x -4 And Goes Through (1,4) (2024)

Mathematics College

Answers

Answer 1

Answer (assuming it is allowed to be in point-slope format):

[tex]y-4 = \frac{2}{3}(x-1)[/tex]

Step-by-step explanation:

1) First, determine the slope. We know it has to be perpendicular to the given equation, [tex]y = -\frac{3}{2} x-4[/tex]. That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since [tex]-\frac{3}{2}[/tex] is in place of the m in the equation, that must be the slope of the given line.

Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be [tex]\frac{2}{3}[/tex].

2) Now, use the point-slope formula, [tex]y-y_1 = m (x-x_1)[/tex] to write the new equation with the given information. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

The [tex]m[/tex] represents the slope, so substitute [tex]\frac{2}{3}[/tex] in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for [tex]x_1[/tex] and 4 for [tex]y_1[/tex]. This gives the following equation and answer:

[tex]y-4 = \frac{2}{3}(x-1)[/tex]

Related Questions

Use technology to find points and then graph the line y = 5/3x – 1

Answers

Answer:

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

y-int = (0, -1)

x-int. = (3/5, 0)

good luck, i hope this helps :)

help me out please :(?

Answers

Answer:

3x2+15x=18

Step 1: Subtract 18 from both sides.

3x2+15x−18=18−18

3x2+15x−18=0

Step 2: Factor left side of equation.

3(x−1)(x+6)=0

Step 3: Set factors equal to 0.

x−1=0 or x+6=0

x=1 or x=−6

Answer:

A

I worked them out myself so if their wrong uh please don't get mad I tried my best.

Step-by-step explanation:

3x (2) + 15x = 18 3x (2) + 15x = 18

6x + 15x = 18 6x + 15x = 18

-6x + -6x = 18 -18 -18

-------------------------- ------------------------

0 + 9x = 18 6x + -3 = 0

------ ------- -3 + -3

18 18 --------------------

x = 2 -3 + 0

X = -3


New York is 5 hours behind London. It is 15:55 in London,
what time is it in New York using the 24 hour clock?

Answers

Answer:

10:55

Step-by-step explanation:

15:55 - 5 = 10:55

If 10% of a number is 2 less than 20% of the same number, then 80% of the number equals?

Answers

Answer:

16

every time you go up 10% there will be 2 added

2*8=16

Step-by-step explanation:

If 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

10% of a number is 2 less than 20% of the same number,

10% .x=20%x-2

Convert % to the decimal by diving with 100.

10/100x=20/100x-2

0.1x=0.2x-2

Subtract 0.1x on both sides

0=0.2x-0.1x-2

Add 2 on both sides

2=0.2x-0.1x

2=0.1x

Divide both sides by 0.1

20=x

Now we need to find 80% of 20.

80% of 20

80/100×20

0.8×20

16

Hence, 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Answers

Answer:

it's 12 cuz 36 divided by 3 is 12

i will give a brainliest if your answer are correct

Answers

Answer:

huhh what this is question is too hard

5×(4+3×2)=5×(4+6)=5×10=50

then its answer C

Find the solutions to x2 = 18.
O A.
- +32
B. X = +63
O c. X = +376
O D. X = +2/3

Answers

Answer:

what in the math equations is this???

Step-by-step explanation:

Simplify completely'''​

Answers

Answer:

[tex]\displaystyle \frac{x + 2}{x - 1}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/CoefficientsFactoring

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{7x^2 + 11x - 6}{7x^2 - 10x + 3}[/tex]

Step 2: Simplify

[Fraction] Factor numerator: [tex]\displaystyle \frac{(x + 2)(7x - 3)}{7x^2 - 10x + 3}[/tex][Fraction] Factor denominator: [tex]\displaystyle \frac{(x + 2)(7x - 3)}{(x - 1)(7x - 3)}[/tex][Fraction] Divide: [tex]\displaystyle \frac{x + 2}{x - 1}[/tex]

Glenis had $5.25 and Samuel had $8.95. How much money did they have
altogether? Find an exact answerand .

Answers

5.25 + 8.95 = 14.2 $

The answer $14.20 because You need to just add $5.25 to $8.95 and you get $14.20

NEED HELPPPP! This is hard for me to do!

Answers

Answer:

a) This expression is simply the average of both of their hours for a full year.

b) Honestly, I'm not sure, but mathematically, its [tex]\frac{Beth's -hours}{Arjun's-hours}[/tex], so the hours cancel out and you get the ratio of their yearly hours? Idek

c) a/12 would be the number of hours Arjun worked per month since there are 12 months in a year.

d) This one is a difference between Arjun's hourly wage to Beth's hourly wage. So, it represents how much more Arjun would have made (Arjun's hourly wage) in comparison to Beth, or vice versa (depending on who worked more hours).

c) Similar to a), this is an average of their yearly income.

IF A CUBE HAS VOLUME OF 1,331 MM, WHAT IS THE AREA OF THE BASE OF IT IN SQUARE MILLIMETERS

Answers

1331= lwh or 1331= x^3

So take cube root of both sides and you will get 11.

Since the formula for area is length times width, the answer is 11x11 which equals 121.

So the square area of the base is 121mm^2

10 km=---------miles​

Answers

Answer:

10000

Step-by-step explanation:

because 1 km =1000 m

Marla mixed cream and milk in a ratio of
2 parts cream to 3 parts milk. How many
liters of each did she use if she made 20 liters

Answers

Answer:

If it says she made 20 liters of cream then She has 30 liters of milk

Step-by-step explanation:

2 cream x 10 = 20

3 milk x 10 = 30

Hope this helps!

Plz make me Brainliest.

Find the area of the figure shown below.
10 cm
5 cm
17 cm

Answers

Answer:

where is the figure?

Step-by-step explanation:

I can't see a figure

Answer:

10 cm thats answer? sorry im wrong

Multiplicative inverse of 345

Answers

the answer is 0.00289855

Answer:

-0.00289855.

1. (a+2)²
2. (a-5)²
3. 3(a+b)
4. (a+2)(a-2)
5. (ab)⁴
6.- 3a(2a + 2b)
7. (2a-3)(a +2)
8. (8a+10b)(8a-10b)
9. (2a-3)³
10.-9a(3a+4b)​

Answers

Answer:

a² + 4a + 4

Step-by-step explanation:

(a + 2) ² = (a + 2) ( a + 2)

= a ( a + 2) + 2 ( a + 2)

= a² + 2a + 2a + 4

= a² + 4a + 4

huh? sorry idont know the answer

According to the Stack Overflow Developers Survey of 20184, 25.8% of developers are students.The probability that a developer is a woman given that the developer is a student is 7.4%,and the probability that a developer is a woman given that the developer is not a student is76.4%. If we encounter a woman developer, what is the probability that she is a student

Answers

Answer:

0.0326 = 3.26% probability that she is a student.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Woman developer

Event B: Student

Probability that the developer is a woman:

7.4% of 25.8%(students).

76.4% of 100 - 25.8 = 74.2%(not students). So

[tex]P(A) = 0.074*0.258 + 0.764*0.742 = 0.58598[/tex]

Student and woman developer.

7.4% of 25.8%(students), so

[tex]P(A \cap B) = 0.074*0.258 = 0.019092[/tex]

If we encounter a woman developer, what is the probability that she is a student

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.019092}{0.58598} = 0.0326[/tex]

0.0326 = 3.26% probability that she is a student.

Find the product of the least common multiple (LCM) of $8$ and $6$ and the greatest common divisor (GCD) of $8$ and $6$. Please help meh. I

Answers

The lcm is 1 and the gcd is 2

Find the greatest common factor of the
following monomials:
25x5 20x6

Answers

Answer:

1

Step-by-step explanation:

Instructions: Find the equation of the line through point (2, -1) and
parallel to 2x + 5y = 15. Use a forward slash (i.e. "/") for fractions (e.g. 1/2
for 3).

Answers

Answer:

[tex]y = -\frac{2}{5}x -\frac{1}{5}[/tex]

Step-by-step explanation:

Given

Passes through: [tex](2,-1)[/tex]

Parallel to: [tex]2x + 5y = 15[/tex]

Required

First, calculate the slope of the parallel line

[tex]2x + 5y = 15[/tex]

Make y the subject

[tex]5y = 15 - 2x[/tex]

Divide through by 5

[tex]y = 3 - \frac{2}{5}x[/tex]

[tex]y =- \frac{2}{5}x+3[/tex]

An equation in slope intercept has the form:

[tex]y = mx + b[/tex]

Where:

m = slope

[tex]y = mx + b[/tex]

So:

[tex]m = -\frac{2}{5}[/tex]

The required is parallel to [tex]2x + 5y = 15[/tex].

This mean, the same slope

The equation is the calculated using:

[tex]y - y_1 = m(x - x_2)[/tex]

This gives:

[tex]y - (-1) = -\frac{2}{5}(x - 2)[/tex]

[tex]y +1 = -\frac{2}{5}x +\frac{2}{5}*2[/tex]

[tex]y +1 = -\frac{2}{5}x +\frac{4}{5}[/tex]

[tex]y = -\frac{2}{5}x +\frac{4}{5}-1[/tex]

Take LCM

[tex]y = -\frac{2}{5}x +\frac{4-5}{5}[/tex]

[tex]y = -\frac{2}{5}x -\frac{1}{5}[/tex]

i.e.

[tex]y = -2/3x -1/5[/tex]

The sum of the squares of two positive numbers is 41 and the difference of the two squares of the numbers is 9. Find the numbers. If there is more than one pair, use the "or" button.

Answers

Answer:

Step-by-step explanation:

41

lol please help me !

Answers

Answer: (a + 2)(a - 2) which is the first answer choice

=========================================================

Explanation:

Use the difference of squares factoring rule which is x^2 - y^2 = (x+y)(x-y)

In this case, x = a and y = 2

x^2 - y^2 = (x+y)(x-y)

a^2 - 2^2 = (a+2)(a-2)

a^2 - 4 = (a+2)(a-2)

At a grocery store a 12 pack of 10.75 ounce cans of soup is sold for 15.65 there are 128 oz in a gallon determine the price per gallon round to the nearest cent

Answers

MY THROAT CRAZYYYYYY

If point N, with coordinates (1, 4) is translated to point N', with coordinates (-1,-1).
which translation did N undergo?
one unit left and three units down
two units left and three units down
two units left and five units down
one unit left and five units down

Answers

it should be 2 units left and 4 units up

A large tank holds ×5107 gallons of oil. How much oil can be stored in 23 tanks

Answers

It would be 120461 gallons of oil.

You have 5 cups of fruit punch concentrate. The recipe calls for 3/4 cup of concentrate for one bowl of punch. how many bowls can you make?​

Answers

You can make 6 bowls of punch.

Polly has a full 5 kg sack of rice. She pours the rice from this sack into bags. She fills as many bags as possible. Each full bag contains 350 g of rice. How many bags did Polly fill from this sack of rice?

Answers

Answer:

Polly used 15 bags to fill this sack of rice.

Step-by-step explanation:

Each kilogram has 1000 grams.

Polly has a full 5 kg sack of rice. Each full bag contains 350 g of rice. How many bags did Polly fill from this sack of rice?

We solve this by rule of three, using proportions.

Each bag has 350g of rice. In all, x bags will have 5kg = 5*1000 = 5000g of rice. So

1 bag - 350g

x bags - 5000g

Applying cross multiplication

[tex]350x = 5000[/tex]

[tex]x = \frac{5000}{350}[/tex]

[tex]x = 14.3[/tex]

Since a decimal part of a bag is not possible, Polly used 15 bags to fill this sack of rice. 14 complete, and the last bag the remaining part.

Suppose you have a tablet with a capacity of gigabytes. For a plain text​ book, one byte typically corresponds to one character and an average page consists of 2000 characters. Assume all gigabytes are used for plain text books.
a. How many pages of text can the tablet​ hold?
b. How many 500 page books can the tablet hold?

Answers

Answer:

tablet can hold 500000 pages of text .

tablet can hold 1000 books of 500 pages

I need help fast and i really don’t understand this at all

Answers

For the tan of angle X use opposite/adjacent. So, 36/27 =4/3.

4/3 is the correct answer

A bag contains 5 yellow, 6 red, and 4 green marbles. Two marbles are drawn. The first is replaced before the second is drawn. A random variable assigns the number of green marbles to each outcome. Calculate the expected value of the random variable.
a.0.76 c.0.27 b. 1.07 d. 0.53​

Answers

Answer:

53

Step-by-step explanation:

The Line Perpendicular To Y= (-3/2)x -4 And Goes Through (1,4) (2024)

FAQs

What is the slope of a line perpendicular to the line y =- 3x 4? ›

The slope of y = –3x – 4 is –3. The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite: in this case to 3. Then find the reciprocal by switching the denominator and numerator to get 1/3; therefore the slope of the perpendicular line is 1/3.

What is the equation of a line perpendicular to y 3x 4 that passes through (- 1 6? ›

Final answer:

To find the equation of a line perpendicular to y = -3x + 4 that passes through the point (-1, 6), we use the fact that perpendicular lines have negative reciprocal slopes. The equation of the perpendicular line is y = (1/3)x + 7.

Is the line through (- 2 3 and 4 1 perpendicular to the line? ›

The correct Answer is:Yes.

Step by step video, text & image solution for Is the line through (-2,3) and (4,1) perpendicular to the line 3x =y + 1?

What is the slope of a line that is perpendicular to y = 3 4x? ›

The slope of Perpendicular lines are reciprocal and have opposite signs. As the value written next to "x" indicates the value of Slope in this equatiuon the slope of the line is given as "3/4". Thus the line perpendicular to this line will have a slope of "-4/3".

How to find perpendicular slope? ›

The slope of a perpendicular line from the slope of a given line is obtained by taking the negative reciprocal of the slope of the given line. If the slope of the given line is m1 and the slope of a perpendicular line is m2 then we have m2 = -1/m1.

What is perpendicular to y = 3x + 4? ›

The slope in y=3x+4 is 3 , so the line perpendicular to it will have a slope of −13 . We can write this in the form y=−13x+b and then plug in (3,5) for x and y to find the equation of the line perpendicular to the line y=3x+4 that goes through the point (3,5) . Therefore, the equation of our new line is: y=−13x+6 .

Which equation is perpendicular to y =- 3x? ›

1 Answer. Equation of the line perpendicular to y=−3x and passing trough (5,8) is x−3y+19=0 .

What is the equation of a perpendicular line? ›

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.

What is the slope of a line parallel to y =-7x-4? ›

Algebra Examples

Using the slope-intercept form, the slope is −7 - 7 . All lines that are parallel to y=−7x+4 y = - 7 x + 4 have the same slope of −7 .

How do I find if lines are perpendicular? ›

If two non-vertical lines in the same plane intersect at a right angle then they are said to be perpendicular. Horizontal and vertical lines are perpendicular to each other i.e. the axes of the coordinate plane.

What is the rule for perpendicular lines? ›

Perpendicular lines lie in the same plane i.e. they are co-planar and intersect at right angles. Thus it implies that if you have two lines that are perpendicular to each other, then these lines will be at right angles and vice versa.

Which line is perpendicular to? ›

Perpendicular lines are those lines that intersect each other at 90 degrees. Do perpendicular lines have to meet? These lines always intersect at right angles.

What is perpendicular to 3/4? ›

Given a line has a slope of 3/4. Therefore the perpendicular of the line is -4/3.

What is the slope of a line perpendicular to the line y 2x − 3? ›

The inverse of 2 = 1/2 and the line must have a negative slope so the slope must be - 1/2. The y intercept of -3 does not matter. Any line with the slope of -1/2 will intercept the line at 90 degrees. y= - 1/2 + (x) is the answer.

What is the slope of a line perpendicular to the line whose equation is 3x 4y 12? ›

The gradient is −34 .

What is the slope of a line perpendicular to 3x 5y 4? ›

Final answer:

The slope of a line perpendicular to 3x + 5y = 4 is 5/3, as perpendicular lines have slopes that are the negative reciprocals of each other.

What is the slope of a line perpendicular to Y =- 2 3x 5? ›

Explanation: We want to find the equation of the line that is perpendicular to the given line y = -2/3x + 5 and passes through the point (2,11). Perpendicular lines have slopes that are negative reciprocals of each other. Therefore, the slope of the perpendicular line is the negative reciprocal of -2/3, which is 3/2.

What is an equation of the line that is perpendicular to 2x y =- 4 and passes through the point 2 8? ›

We can determine the y-intercept by plugging in the coordinates of the provided point, so -8 = (1/2)*2 + b. Solving gives us b=-9. Therefore, the equation of the line that is perpendicular to 2x + y = -4 that passes through the point (2, -8) is y = (1/2)x - 9.

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