How do you find the x and y intercepts of y=2x-3y=2x3?

1 Answer
Jul 7, 2017

xx-intercept = 1.5=1.5, yy-intercept =-3=3

Explanation:

To find an xx-intercept, find where the graph of y=2x-3y=2x3 intercepts the xx-axis. When a graph intercepts the xx-axis, y=0y=0, so you can substitute 00 for yy.

y=2x-3y=2x3
0=2x-30=2x3
3=2x3=2x
x=1.5x=1.5

Similarly, you can find the yy-intercept by determining where the graph intercepts the yy-axis. At this point x=0x=0, so substitute 00 for xx.

y=2x-3y=2x3
y=2(0)-3y=2(0)3
y=0-3y=03
y=-3y=3

The xx-intercept is 1.51.5, and the yy-intercept is -33.

You can verify this by graphing the function:
graph{2x-3 [-10, 10, -5, 5]}