# How do you write an equation in standard form given point (3,0) and slope 5?

Jul 7, 2016

y = 5x - 15

#### Explanation:

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

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

here m = 5 and (a ,b) = (3 ,0)

Substitute these values into the equation and simplify.

y - 0 = 5 (x - 3) → y = 5x - 15

Thus $\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{y = 5 x - 15} \textcolor{w h i t e}{\frac{a}{a}} |}}}$ is the equation