Write the equation of a line in slope-intercept form that is perpendicular to the given line and passes through the point (-9,-17).

Y=9x-4

y = -1/9x -18

Step-by-step explanation:

Y = 9x-4

This is in slope intercept form (y=mx+b where m is the slope)

The slope is 9

We want a line that is perpendicular

Perpendicular lines have slopes that multiply to -1

Let m be the slope of the perpendicular line

m*9 = -1

Divide each side by 9

m = -1/9

The slope of the perpendicular line is -1/9

Using the slope intercept form

y = mx+b

y = -1/9 x+b

Substitute the point into the equation

-17 = -1/9(-9) +b

-17 = 1+b

Subtract 1 from each side

-17-1 =1-1+b

b= -18

The equation is

y = -1/9x -18

x

step-by-step explanation:

b

step-by-step explanation: