# How do you write the point slope form of the equation given m=-5 and (7,2)?

Feb 10, 2017

$y - 2 = - 5 \left(x - 7\right)$

#### Explanation:

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

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y - {y}_{1} = m \left(x - {x}_{1}\right)} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
where m represents the slope and $\left({x}_{1} , {y}_{1}\right) \text{ a point on the line}$

$\text{here "m=-5" and } \left({x}_{1} , {y}_{1}\right) = \left(7 , 2\right)$

substitute these values into the equation.

$y - 2 = - 5 \left(x - 7\right) \leftarrow \textcolor{red}{\text{ in point-slope form}}$