# How do you write the equation in point slope form given m=1/2 and point (7,-6)?

Jan 8, 2017

$y + 6 = \frac{1}{2} \left(x - 7\right)$

#### Explanation:

There are several ways of indicating the equation of a straight line:
There are all interchangeable.

$a x + b y + c = 0$ is general form

$a x + b y = c$ is standard form

$y = m x + c$ is slope-intercept form

$\textcolor{b l u e}{y - {y}_{1} = m \left(x - {x}_{1}\right)}$ is point slope form $\leftarrow$ use this one

$m = \frac{1}{2} \mathmr{and} \left(7 , - 6\right)$

$y - \left(- 6\right) = \frac{1}{2} \left(x - 7\right)$

$y + 6 = \frac{1}{2} \left(x - 7\right) \text{ }$ is the required form.