# How do you write an equation of a line with Slope = –2, passing through (0, –3)?

Mar 11, 2018

See a solution process below:

#### Explanation:

The point $\left(0 , - 3\right)$ is the same as the $y$-intercept of $- 3$

Therefore, we can use the slope-intercept formula to write and equation for this line. The slope-intercept form of a linear equation is: $y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$

Where $\textcolor{red}{m}$ is the slope and $\textcolor{b l u e}{b}$ is the y-intercept value.

Substituting the values from the problem gives:

$y = \textcolor{red}{- 2} x + \textcolor{b l u e}{- 3}$

$y = \textcolor{red}{- 2} x - \textcolor{b l u e}{3}$