CPM Homework Help : AC Problem 2-40

Determine whether the points $A\left(3, 5\right)$ , $B\left(−2, 6\right)$ , and $C\left(−5, 7\right)$ are on the same line. Justify your conclusion algebraically.

Hint:

Find the slope between points A and B.

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

More Help:

Now find the slope between points B and C.

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