Find the x-intercept and y-intercept from the following linear equation: 9x-3y=-81

Answer 1

The slope-intercept form of a linear equation is:

y=mx+b

Find the x-intercept, your goal is have x by itself

9x-3y=-81

+3y . +3y

9x= 3y-81

_ _____

9 . 9

x= 1/3y-9

Find the y-intercept, your goal is have y by itself

9x-3y= -81

-9x . -9x

-3y= -9x -81

__ _____

-3 -3

y= 3x+27

Answer 2

The x intercept is where the line intercepts the x axis. This happens when y = 0

9x - 3y = -81

When y = 0

9x - 3(0) = -81

9x = -81

x = -9

The y intercept is where the line intercepts the y axis, and this happens when x = 0

9x - 3y = -81

When x = 0

9(0) -3y = -81

-3y = -81

y = 27