# How do you graph the line that goes through (3, 0) and has a slope of -3/4?

Aug 31, 2016

$y = - \frac{3}{4} x + c$

#### Explanation:

In the general equation of a line y=mx+c
m is the gradient and c is the value of the y intercept

So the equation of the line is $y = - \frac{3}{4} x + c$
This passes through (3,0)
So $0 = - \frac{3}{4} \cdot 3 + c$

So $c = \frac{9}{4}$
The equation of the line is

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

Or 4y=9-3x
graph{4y=9-3x [-10, 10, -5, 5]}