# What is the line that has X-intercept of 3 and the slope is 5?

Jan 15, 2017

$y = 5 x - 15$

#### Explanation:

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

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

$\text{x-intercept " =3rArr(3,0)" is a point on the line}$

$\text{here " m=5" and } \left({x}_{1} , {y}_{1}\right) = \left(3 , 0\right)$

substitute these values into the equation.

$y - 0 = 5 \left(x - 3\right)$

$\Rightarrow y = 5 x - 15 \text{ is the equation of the line}$