### Home > AC > Chapter 8 > Lesson 8.3.2 > Problem8-111

8-111.

Kristen loves shortcuts. She figured out that she can find $x$- and $y$-intercepts for any line without graphing! For example, she knows that the $x$-intercept for $5x − 3y = 15$ is $(3,0)$ just by examining the rule.

1. What is her shortcut?

2. Does this shortcut work for the $y$-intercept? Try it and then test your result by changing $5x − 3y = 15$ into $y = mx + b$ form.

3. Use this shortcut to find the $x$- and $y$-intercepts of $3x−2y=24$.

She knew the $x$-intercept occurred when $y=0$.

$5(0) − 3y = 15$

$y = -\frac{5}{3}x - 5$

$3x − 2(0) = 24 3(0) − 2y = 24$