# How do you write an equation in standard form given point (1,9) and slope 4?

Sep 6, 2016

$y = 4 x + 5$

#### 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 $\left({x}_{1} , {y}_{1}\right) \text{ a point on the line}$

here m = 4 and $\left({x}_{1} , {y}_{1}\right) = \left(1 , 9\right)$

substitute these values into the point-slope equation.

$y - 9 = 4 \left(x - 1\right)$

It is usual to distribute bracket and collect like terms.

$y - 9 = 4 x - 4 \Rightarrow y = 4 x - 4 + 9$

$\Rightarrow y = 4 x + 5 \text{ is the equation}$