CPM Homework Help : CCA2 Problem A-38

Use slope to determine whether the points $A(3,5)$ , $B(−2,6)$ , and $C(−5,7)$ are on the same line. Justify your conclusion algebraically.

Hint 1:

Find the slope between points $A$ and $B$ .

$\frac{6-5}{-2-3}=-\frac{1}{5}$

Hint 2:

Now find the slope between points $B$ and $C$ .

$\frac{7-6}{-5+2}=-\frac{1}{3}$