# What is the equation of the line with slope  m= 5/17  that passes through  (11,7) ?

Nov 20, 2015

$y = \frac{5}{17} x - 4$

#### Explanation:

Since we are given a point and the slope, we're gonna use the Slope- Intercept form:

$y - {y}_{2} = m \left(x - {x}_{2}\right)$

Substitute:

$y - 7 = \frac{5}{17} \left(x - 11\right)$

$y - 7 = \frac{5}{17} x - 11$

$y = \frac{5}{17} x - 11 + 7$

$y = \frac{5}{17} x - 4$