# What is the equation of the line with slope  m=7/5  that passes through  (5,5) ?

Dec 5, 2015

The equation of the line is 7x-5y=10

#### Explanation:

Equation of line of a given slope passing through a point is $y - y 1 = m \left(x - x 1\right)$

Here $x 1 = 5 = y 1$
$m = \frac{7}{5}$
This implies the equation is $y - 5 = \frac{7}{5} \left(x - 5\right)$
$5 y - 25 = 7 x - 35$
$7 x - 5 y = 10$