# What is the slope intercept form of the line passing through (-7,7)  with a slope of 1/2 ?

Apr 16, 2018

$y = \frac{1}{2} x + \frac{21}{2}$

#### Explanation:

Equation of the line of slope $m$ and passing through $\left({x}_{1} , {y}_{1}\right)$ is

$\text{ } y - {y}_{1} = m \left(x - {x}_{1}\right)$

$\Rightarrow \text{ } y - 7 = \frac{1}{2} \left(x + 7\right)$

$\Rightarrow \text{ } y = \frac{1}{2} x + \frac{7}{2} + 7$

$\Rightarrow \text{ } y = \frac{1}{2} x + \frac{21}{2}$

This is of the required form $y = m x + c$.