Question

11. what is the equation of the line perpendicular to the line y= 4/9x -2 that passes through the point (4,3)?

Answer 1

An equation perpendicular will have a slope as the opposite reciprocal of the slope to that line.

Answer 2

A. y= -4/9x-2
B. y= 9/4x+6
C. y= - 9/4x+12
D. y=-9/4x-12

Answer 3

so -9/4??

Answer 4

This means, that since your slope is (4/9), the opposite reciprocal slope will be (-9/4), so the equation y = -9/4x - 2 is a line perpendicular to y = 4/9x - 2

Answer 5

You got it!

Answer 6

Ok, now, there's one more step.

Answer 7

It passes through the coordinate (4, 3). So this means that we can say x = 4 and y = 3.

Since we have a slope (m) of the perpendicular line as: m = -9/4, we can set up an equation like this

Slope-Intercept Form: y = mx + b
Substituting x, y, and m

3 = (-9/4)(4) + b

And we can solve for b! (Which is the y-intercept)

Answer 8

3 = (-9/4)(4) + b
3 = -36/4 + b

Do you know how to solve for 'b' here?

Answer 9

3 = -36/4 + b

Answer 10

Let me know if you are lost, I can go slower.

Answer 11

12?

Answer 12

Lemme see,