How do you find the x and y intercepts for # y= -9x#?

1 Answer
Mar 2, 2018

Answer:

The x-intercept is #(0,0)#.

The y-intercept is #(0,0)#.

The line has a negative and steep slope, and passes through the origin.

Explanation:

Given:

#y=-9x#

The x-intercept is the value of #x# when #y=0#.

Substitute #0# for #y# and solve for #x#:

#0=-9x#

Divide both sides by #-9#:

#0/(-9)=(color(red)cancel(color(black)(-9))^1x)/(color(red)cancel(color(black)(-9))^1#

#color(red)("x-intercept:"# #(0,0)#

The y-intercept is the value of #y# when #x=0#.

Substitute #0# for #x# and solve for #y#:

#y=-9(0)#

#y=0#

#color(blue)("y-intercept:"# #(0,0)#

The line has a negative and steep slope, and passes through the origin:

graph{y=-9x [-10, 10, -5, 5]}