# Question #43077

Apr 27, 2017

#### Answer:

See the entire solution process below:

#### Explanation:

The slope-intercept form of an equation is: $y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$

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

We can substitute the values of the point from the problem for $x$ and $y$ and the slope for the problem for $m$ and solve for $b$:

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

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

$- 3 = - 4 + \textcolor{b l u e}{b}$

$\textcolor{red}{4} - 3 = \textcolor{red}{4} - 4 + \textcolor{b l u e}{b}$

$1 = 0 + \textcolor{b l u e}{b}$

$1 = \textcolor{b l u e}{b}$

We can now substitute the slope from the problem and the y-intercept we calculated into the slope-intercept formula to write the equation:

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