# What is the equation of a line that goes through (4, 0) and (-7,0 )?

Apr 13, 2017

$y = 0$

#### Explanation:

Use the slope-point equation $y = m x + b$

Given two points ${P}_{1} \left(4 , 0\right)$ and ${P}_{2} \left(- 7 , 0\right)$ to solve for the slope or $m$,

$m = \frac{\delta Y}{\delta X}$ or $\frac{{Y}_{2} - {Y}_{1}}{{X}_{2} - {X}_{1}}$

Doing so,

$m = \frac{0 - 0}{4 - - 7}$

$m = 0$

Since their is no slope, the line is just going to be horizontal, the equation will look like $y = 0$