CPM Homework Help : CAAC Problem 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. Homework Help ✎
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.

Hint (a):

She knew the x-intercept occured when y = 0.

Step 1(b):

5(0) − 3y = 15

Step 2(b):

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

Step (c):

3x − 2(0) = 24 3(0) − 2y = 24