# How do you write the equation in point slope form given (7,0) and m=4?

May 13, 2017

$y - 0 = 4 \left(x - 7\right)$

#### Explanation:

$\text{the equation of a line in "color(blue)"point-slope form}$ 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 $\left({x}_{1} , {y}_{1}\right) \text{ a point on the line}$

$\text{here " m=4" and } \left({x}_{1} , {y}_{1}\right) = \left(7 , 0\right)$

$\Rightarrow y - 0 = 4 \left(x - 7\right) \leftarrow \textcolor{red}{\text{ in point-slope form}}$

$\text{or " y=4x-28larrcolor(red)" in slope-intercept form}$

May 13, 2017

$y = 4 x - 28$

#### Explanation:

y=mx+c
m=4
y=0
x=7
Therefore $0 = 4 \cdot 7 + c$
$0 = 28 + c$
$c = - 28$
Substitute m and c
$y = 4 x - 28$