### Home > CC3MN > Chapter 9 > Lesson 9.2.1 > Problem9-110

9-110.

Given the two points $(−24, 7)$ and $(30, 25)$:

1. Write the equation of the line passing through the points.

Find the slope between the two points $m=\frac{\triangle y}{\triangle x}$

Use the slope-intercept form ($y = mx + b$). Substitute the slope ($m$), and one point $(−24, 7)$ or $(30, 25)$ for $x$ and $y$ to solve for $b$.

$y=\frac{1}{3}x+15$

2. Is $(51, 33)$ also on the same line? Explain your reasoning.

Use the eTool below for part (b).
Click the link at right for the full version of the eTool:  9-110 HW eTool