# What is the slope intercept form of the line with a slope of -1  that passes through  (-5,7) ?

Oct 2, 2017

See a solution process below:

#### Explanation:

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.

In the problem we are given: $\textcolor{red}{m = - 1}$

Substituting this into the formula gives:

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

Next, we can substitute the values from the point in the problem for $x$ and $y$ and solve for $\textcolor{b l u e}{b}$:

$y = \textcolor{red}{- 1} x + \textcolor{b l u e}{b}$ becomes:

$7 = \left(\textcolor{red}{- 1} \times - 5\right) + \textcolor{b l u e}{b}$

$- \textcolor{red}{5} + 7 = - \textcolor{red}{5} + 5 + \textcolor{b l u e}{b}$

$2 = 0 + \textcolor{b l u e}{b}$

$2 = \textcolor{b l u e}{b}$

Substituting this result into the formula gives:

$y = \textcolor{red}{- 1} x + \textcolor{b l u e}{2}$