37.3k views
4 votes
Through (4,-9) perpendicular to 8y=x-16

1 Answer

2 votes

Answer:

y = -8x + 23

Explanation:

8y=x-16

we need to turn this into slope-intercept form by dividing 8 on both sides

y = x/8 - 2

to make a line perpendicular from another, we must make sure the slope is the negative reciprocal of the original line.

Right now, it's the same as the original. To make it a negative reciprocal, switch the places of the denominator and numerator and flip the signs

-8x is the negative reciprocal of x/8

Does it go through (4,-9)? No.

To make sure it goes through 4,-9, we change it's y-intercept.

Plug in the coordinate given (4,-9) in the y = -8x + b ( we removed -2 since it's not the right answer.

y = -8x + b

(-9) = -8(4) + b

-9 = -32 + b

-9 +32= -32 + b +32

23 = b

plug in b and we get our answer

y = -8x + 23

User VelikiiNehochuha
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories