# How do you write an equation of the line with an x-intercept of 4 and a slope of 3/4?

Jan 28, 2016

I found: $y = \frac{3}{4} x - 3$

#### Explanation:

We can use the Slope-Intercept form of the equation of the line as:
$y = m x + c$
Where $m =$slope.
In our case:
$y = \frac{3}{4} x + c$
to find $c$ we set that the line has $x$-intercept at the point of coordinates $\left(4 , 0\right)$ and substitute into our equation to get:
$0 = \frac{3}{4} \cdot 4 + c$
rearranging we get:
$c = - 3$
so finally the equation will be:
$\textcolor{red}{y = \frac{3}{4} x - 3}$