# What is the equation of the line with slope  m=5/2  that passes through  (5,5) ?

Dec 20, 2015

$y = \frac{5}{2} x - \frac{15}{2}$

#### Explanation:

The basic equation of a line is $y = m x + c$

1. Sub in the slope. $y = \frac{5}{2} x + c$

2.Sub in the cordinates. (y=5 and x=5 ) $5 = \frac{5}{2} \left(5\right) + c$

3.Find the value c.

4.Sub in the value of c and the value of slope, leaving the unknown variables in the equation. $y = \frac{5}{2} x - \frac{15}{2}$

Hope it helps :)