How do you graph #3x-4y=-12# using the intercepts?

1 Answer
May 3, 2016

Answer:

If you know the #x-# and #y-#intercepts of a line you can draw the line passing through them.

Explanation:

All along the #x-#axis, #y# = 0. All along the #y-#axis, #x# = 0.

To find the #x# intercept, make #y# = 0 and solve for #x#.
To find the #y# intercept, make #x# = 0 and solve for #y#.

In this example:

For the #x# intercept, #3x - 4(0) = -12# #rArr x = -4#

For the #y# intercept, #3(0) - 4y =-12# #rArr y = 3# graph graph{y = 3x/4 +3 [-10, 10, -5, 5]}

Draw the line through these points.