Question

Write an equation in slope intercept form for a line perpendicular to the line

Answer 1

Answer:

y=(1/3)x- 4/3

Step-by-step explanation:

If two lines are perpendicular to each other, then the slopes will be the negative inverse to each other.

Example:

the negative inverse of 2 is -1/2

the slope of  $y=-3x+2$  is -3

the negative inverse of -3 is $\dfrac{1}{3}$

So we have the perpendicular line be :$y=\dfrac{1}{3}x+b$

Since it also go through (4,0)

plug in we get $0 = \dfrac{4}{3}+b$

$b=-\frac{4}{3}$

So the equation would be

$y=\frac{1}{3}x - \frac{4}{3}$