### Home > CC4 > Chapter 10 > Lesson 10.1.2 > Problem10-32

10-32.

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. Homework Help ✎

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.

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