# How do you write an equation of a line given (12, 0), m=3/4?

Apr 26, 2018

$y = \frac{3}{4} x - 9$

#### Explanation:

Since we are provided the slope and a point on the line we can use the equation for point slope form of the equation of a line.

$y - {y}_{1} = m \left(x - {x}_{1}\right)$

Where $m =$ slope and the point is $\left({x}_{1} , {y}_{1}\right)$

For this situation $m = \frac{3}{4}$ and a point of $\left(12 , 0\right)$

$m = \frac{3}{4}$
${x}_{1} = 12$
${y}_{1} = 0$

$y - {y}_{1} = m \left(x - {x}_{1}\right)$

Plug in the values
$y - 0 = \frac{3}{4} \left(x - 12\right)$

Use distributive property to eliminate the parenthesis
$y = \frac{3}{4} x - 9$