# How do you write an equation of a line with a slope of 3 and passes through the point (0,-3)?

Jan 28, 2017

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

#### Explanation:

We can use the slope-intercept formula to write this equation.

The slope is given in the problem as $\textcolor{red}{3}$

The point (0, -3) is the y-intercept by definition at $\textcolor{b l u e}{- 3}$

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:

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

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