Write an equation of the line passing through the point (2,8) that is perpendicular to the line 2x-3y=7

Answers

Answer 1

Answer:

y = (-3/2x) + (35/4)

Step-by-step explanation:

So the perpendicular line will have a slope that is the opposite reciprocal of the other line's slope. Solve for the original line's slope first:

2x - 3y = 7 --> -3y = -2x + 7 --> y = (2x/3) - (7/3)

So, the slope of the perpendicular line will be (-3/2x)

Solve for the y-intercept of the perpendicular like by using the linear equation and substituting in (2,8):

8 = (-3/(2*2)) + b --> (32/4) = -(3/4) + b --> b = (35/4)

So, y = (-3/2x) + (35/4)

Hope that helps! :D


Related Questions

Write the equation in slope-intercept form y−6=−2/5(x−10)

Answers

Answer: y = -2/5x + 10

Step-by-step explanation:

y − 6 = − 2/5 (x − 10)

do distributive property

y - 6 = -2/5x + 4

add six to both sides

y = -2/5x + 10

boom the answer :v

A system of linear equations includes the line that is created by the equation y = 0.5 x minus 1 and the line through the points (3, 1) and (–5, –7), shown below. What is the solution to the system of equations?

Answers

Answer:

The solution to the system of equations is x = 4 and y = 2.

Step-by-step explanation:

From statement we know that the first line is [tex]y = 0.5\cdot x[/tex]. The second line is determined by knowing two distinct points and solving the resulting system of equations by definition of the equation of the line:

[tex](x_{1},y_{1}) = (3,1)[/tex] and [tex](x_{2}, y_{2}) =(-5,-7)[/tex]

[tex]3\cdot m + b = 1[/tex] (1)

[tex]-5\cdot m + b = -7[/tex] (2)

The solution of the system of equations is:

[tex]m = 1[/tex], [tex]b = -2[/tex]

The second line is represented by [tex]y = x-2[/tex]. And the resulting system of equations is:

[tex]0.5\cdot x -y = 0[/tex] (3)

[tex]x-y = 2[/tex] (4)

The soltuion to the system of equations is:

[tex]x = 4[/tex], [tex]y = 2[/tex]

The solution to the system of equations is x = 4 and y = 2.

Find the slope and the y-intercept of the graph of y
-4/5x - 2

Answers

Answer:

slope - (-4/5)

y- intercept - (0,-2)

Step-by-step explanation:

Answer:

the slope is -4/5 and the y intercept is -2

Step-by-step explanation:

Please Help Quick ASAP Hurry This is Pre-Algebra 1 i need the answer now please ASAP
Which Word Best describes the numbers 10 and -10?
A.Opposites
B.Coordinate
C.Absolute Value
D.Expression

Answers

Answer:

Part A

Step-by-step explanation:

What will be the coordinates of point M of the image after the rotation?
0 (-4, 1)
0 (-1,4)
O (1-4)
O (4,1)​

Answers

answer: b
explain- i’m smart jk

Can somebody plz answer this question quick and correctly!

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :D

Answers

Answer:

42%

Step-by-step explanation:

100% - 58% = 42%

Which coordinate pair is a solution of the linear
equation below?
-x - y = -2
Click on the correct answer
(-8,-10)
(8,10)
(-8,10)

Answers

Answer:

The answer is (-8,10).

Your answer is: (-8,10)

Happy holidays!! :)

Match each expression to correct number line model.

I NEED THIS RIGHT AWAY!

(no one answered my last one so i hope this gets answered quick.)

Answers

1. 4+(-1 1/2)
2. 1.5+-2.5
3. -1.5+-2.5
4. 1.5+-2.5

Solve for n
8-n-4
PLZ help

Answers

N=12 i think hope it helps

My book is 79 pages. I have been reading 10 pages each day. There are 9 pages left to read. How many days have I been reading the book? Draw a model to show your thinking. Justify your answer.

Answers

Answer:

7 days

Step-by-step explanation:

If there are 9 pages left, that means you have already read 70 pages.

Since you read 10 pages a day, we can find how many days you have been reading the book by dividing 70 by 10:

70/10

= 7

This means you have been reading the book for 7 days

Answer:

7 days

Step-by-step explanation:

With 9 pages left take 79-9 to get 70 pages.

70 pages at 10 pages a day is 70/10 and you get 7 or 7 days.

Which of the following points would be on the graph of the equation y=-3x + 1?
A. (-4, -10)
B.(-4, 22)
C. (1, -10)
D. (1, - 2) ​

Answers

Answer:

D.(1,-2)

Step-by-step explanation:

y= -3x+1

when x=1

y= -3*1 +1

y=-3+1

so

y=-2

The intercept would be (0, 1)

Find the unit rate. $30 for 2 1/2 hours of work

Answers

Answer:

12$ an hour.

Step-by-step explanation:

Simply set it up as fraction in a way set it as  30/2.5 and divide both values by 2.5 which you get 12 from 30 and 1 from 2.5 there's your unit rate. 12/1 or 12$ an hour.

Urgent !! To solve a system of equations into y2. Given the following information, find the solution to the system of equations. i. The y-intercepts for the lines are (0,3) and(0,-7) ii. Line 1 has a slope of -3 iii. Line 2 has a slope of 2

Answers

Answer:

i think 2 if not sorry

Step-by-step explanation:

it makes the most  scene to me

One number is five more than another. If their sum is increased by nine, the result is 60. Find the numbers.

Answers

Answer:

The two numbers are 23 and 28

Step-by-step explanation:

We are given that

[tex]X = Y + 5\\and\\(X+Y) + 9 = 60\\X+Y = 51\\(Y+5) + Y = 51\\2Y + 5 = 51\\2Y = 46\\Y = 23\\\\X = Y + 5\\X = 23 + 5\\X = 28[/tex]

Which of the sets of ordered pairs represents a function?

P = {(3, 5), (−1, 5), (4, −6), (2, 9)}

Q = {(7, −2), (5, 9), (−1, 8), (5, −3)}

Answers

Answer:

P

Step-by-step explanation:

P tells us that the Domain: 3,-1,4,2 doesn't repeat

Q does repeat its Domain: 7,5,-1,5

Reminder that in order for a line of ordered pairs to be a function the domain number Shouldn't repeat, That doesn't mean that the range cant repeat.

Example: (5,-3), (5,9) Not a function

                (-1,-6), (7,-6) Function

Out of the two set given, the set of ordered pairs that represents a function is: P = {(3, 5), (−1, 5), (4, −6), (2, 9)}.

What is a Function?

A set of ordered pairs that has one exact y-value assigned to each x-value is considered a function.

In set P, all x-values has exactly one y-value, while in set P, the x-value, 5, has two different y-values, 9 and -3.

Therefore, the set of ordered pairs that represents a function is: set P.

Learn more about a function on:

https://brainly.com/question/10439235

#SPJ2

What is the ratio of 3:6

Answers

Answer:

1:2

Step-by-step explanation:

You didn't really specify, but I'm going to assume you meant as simplified as possible. If you write it as a fraction, it will be ½ or as a decimal it will be 0.5.

Answer:

1:2

Step-by-step explanation:

Simplifying a ratio is like simplifying a fraction.

Simply put the number to the left as the numerator, and the number to the right as the denominator.

In this case, 3/6 = 1/2.

Hence, plug the numbers right back in and you get 1:2.

Hope this helped!

1. To graph any linear equation in the calculator it needs to be in the slope
y intercept form. What is the slope y-intercept form for the equation
4y – 20x = -8

Answers

Answer:

y=mx+b no judgement i think this is right but i coukldbe completely off

Step-by-step explanation:

What is 6^4 x 6 1/4????

Answers

Answer:

8100

Step-by-step explanation:

TheStudent Government buys sweatshirts for $10 and sells them for $25. Find the percent of increase.

Answers

Answer:

4

Step-by-step explanation:

4444

HELP IMMA- FLIP IM DESPERATE

Answers

Answer:

The line that matches the equation y=2x+4 is line e.


Is the following relation a function, yes or no?
{(-3,4),(3,1),(5,7), (8,9), (10, 12)}
yes
no

Answers

The function rule is that each input (x value in (x,y)) should only equal to one output and one output (y value) can have more than one input.

✯the following is a function, so yes.

Answer:

yes

Step-by-step explanation:

The measures of the angles of a triangle are shown in the figure below

Answers

Answer:

they very much are there

Step-by-step explanation:

Answer:

37.5 degrees

Step-by-step explanation:

All triangle angles must sum up to 180 degrees

63 + 90 = 153

153 = 4x + 3

150 = 4x

37.5 = x

Question is in image

Answers

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

Multiply sides by 4

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

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

[tex]4y = - x + 16[/tex]

Add sides x

[tex] + x + 4y = + x - x + 16[/tex]

[tex]x + 4y = 16[/tex]

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The correct answer is (( C )) .

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The distance on a map between lake view and bay cove is 4.5 inches. The map key says 0.5 inches on the map is equivalent to 1 mile. what is the actual distance between Lake view an bay cove?

Answers

Answer:

9 miles

Step-by-step explanation:

yes i used a calculator

Answer:

9 miles.

Step-by-step explanation:

What I did was 4.5/.5  

The  I got 9. Then I checked it on a calculator and got 9 again.

So.. your answer is 9 miles.

Hope this helped ya!

please someone help asap i will give brainliest

Answers

Answer:

Step-by-step explanation:

c≥ -1.95

[-1.95,∞)

solid circle on -1.95 and go right

pls help me its also easy

Answers

Answer:

C

Step-by-step explanation:

Ferdinand's equipment is higher than Rachel's equipment.

$10.50 for 3 pounds round to the nearest hundredth can u solve the other pens too .

Answers

Answer: 3: $3.50 for one pound

4: The value of X is 10

5: P has the value of 2

Step-by-step explanation:

PLS HELP!!!
PLS FIND 13 and 15!!

Answers

Answer:

hi how are you doing

Step-by-step explanation:

help im being timed what is the area of the rectangle?!

Answers

Answer:

30

Step-by-step explanation:

Hope this helps.

Quadratic functions 2. Did I do it right

Answers

Yea you did, good job
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