# What is the slope intercept form of the line passing through (-3,0)  with a slope of 1/2 ?

Aug 26, 2017

$y = \frac{1}{2} x + \frac{3}{2}$

#### Explanation:

$\text{the equation of a line in "color(blue)"slope intercept form}$ is.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

$\text{where m represents the slope and b the y-intercept}$

$\text{here } m = \frac{1}{2}$

$\Rightarrow y = \frac{1}{2} x + b \leftarrow \text{ partial equation}$

$\text{to find b substitute "(-3,0)" into the partial equation}$

$0 = - \frac{3}{2} + b \Rightarrow b = \frac{3}{2}$

$y = \frac{1}{2} x + \frac{3}{2} \leftarrow \textcolor{red}{\text{ in slope-intercept form}}$