# How do you write an equation in point slope and slope intercept form given m=-7; (0, 2.4)?

Jun 2, 2017

See a solution process below

#### Explanation:

The point $\left(0 , 2.4\right)$ gives us the $y$ intercept. 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 slope and y-intercept from the problem gives:

$y = \textcolor{red}{- 7} x + \textcolor{b l u e}{2.4}$

The point-slope formula states: $\left(y - \textcolor{red}{{y}_{1}}\right) = \textcolor{b l u e}{m} \left(x - \textcolor{red}{{x}_{1}}\right)$

Where $\textcolor{b l u e}{m}$ is the slope and $\textcolor{red}{\left(\left({x}_{1} , {y}_{1}\right)\right)}$ is a point the line passes through.

We can also substitute directly giving:

$\left(y - \textcolor{red}{2.4}\right) = \textcolor{b l u e}{- 7} \left(x - \textcolor{red}{0}\right)$