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

Sep 19, 2016

$y = - \frac{1}{2} x - 2$

#### 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 the slope $= - \frac{1}{2}$ so we can write the partial equation as

$y = - \frac{1}{2} x + b$

To find b, substitute the coordinates of the point (2 ,-3) into the partial equation.

$\Rightarrow \left(- \frac{1}{2} \times 2\right) + b = - 3$

$\Rightarrow - 1 + b = - 3 \Rightarrow b = - 3 + 1 = - 2$

$\Rightarrow y = - \frac{1}{2} x - 2 \text{ is equation in slope-intercept form}$