The points ( − 4 , 9 ) and ( 4, −9) lie on the same line. What is its equation in slope-intercept form of this line?

y = -9/4x

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

   = ( -9-9)/(4 - -4)

   ( -9-9)/(4+4)

   -18/8

   -9/4

Slope intercept form is

y= mx+b where m is the slope and b is the y intercept

y = -9/4 +b

Substitute a point into the equation

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

9 = 9+b

b=0

y = -9/4x

step-by-step explanation: