# What is the slope intercept form of the line passing through (-7,23)  with a slope of -5 ?

Aug 5, 2016

y = -5x - 12

#### Explanation:

The equation of a line in $\textcolor{b l u e}{\text{slope-intercept form}}$ is

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
where m represents the slope and b, the y-intercept.

here we know m = -5 and can write a partial equation.

hence y = -5x + b is the partial equation

To find b use the point (-7 ,23) and substitute x = - 7, y = 23 into the partial equation.

$\Rightarrow - 5 \left(- 7\right) + b = 23 \Rightarrow b = 23 - 35 \Rightarrow b = - 12$

$\Rightarrow y = - 5 x - 12 \text{ is the equation in slope-intercept form}$