# How do you write the equation in slope intercept form given point (4, –3) and has slope m = 1?

Feb 25, 2017

$y = \textcolor{red}{1} x - \textcolor{b l u e}{7}$ or $y = x - \textcolor{b l u e}{7}$

#### Explanation:

First, we can write the equation in point-slope form. 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.

Substituting the values from the problem gives.

$\left(y - \textcolor{red}{- 3}\right) = \textcolor{b l u e}{1} \left(x - \textcolor{red}{4}\right)$

$y + \textcolor{red}{3} = x - \textcolor{red}{4}$

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.

We can now solve the equation from above for $y$:

$y + \textcolor{red}{3} - 3 = x - \textcolor{red}{4} - 3$

$y + 0 = x - 7$

$y = \textcolor{red}{1} x - \textcolor{b l u e}{7}$