How to find x and y intercepts for the equation 2x+3y-15=0?

The x-intercept has a y-value of 0 and the y-intercept has
an x-value of 0.  Therefore, you can find the x and y intercepts by substituting 0 in
for each variable one at a
time.

x-intercept:

2x + 3(0) -
15 = 0

2x - 15 = 0

2x =
15

x = 7.5

The
x-intercept is (7.5,
0).

y-intercept:

2(0)
+ 3y - 15 = 0

3y - 15 = 0

3y =
15

y = 5

The
y-intercept is (0, 5).

You can
check this answer by graphing the line.

Rewrite the
equation as y = (-2x + 15) / 3

type="image/svg+xml"
src="/jax/includes/tinymce/jscripts/tiny_mce/plugins/asciisvg/js/d.svg"
sscr="-1,8,-1,6,1,1,1,1,1,300,200,func,(-2x+15)/3,null,0,0,,,black,1,none"/>

The
line intersects the x-axis at 7.5 and the y-axis at 5.