# How do you write the equation in point slope form given (9,0); m=-5?

Aug 30, 2016

$y - 0 = - 5 \left(x - 9\right)$

#### Explanation:

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

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

here m = - 5 and $\left({x}_{1} , {y}_{1}\right) = \left(9 , 0\right)$

substitute these values into the equation.

$y - 0 = - 5 \left(x - 9\right) \text{ in point-slope form}$

It is usual, however, to distribute the bracket and collect like terms.

$\Rightarrow y = - 5 x + 45 \text{ in slope-intercept form}$