### Home > A2C > Chapter 2 > Lesson 2.1.3 > Problem2-40

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.

Find the slope between points A and B.

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

Now find the slope between points B and C.

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