# What is the slope intercept form of the line passing through (6,2)  with a slope of -3/5 ?

Apr 12, 2016

$y = - \frac{3}{5} x + \frac{28}{5}$

#### Explanation:

The equation of a line in slope-intercept form is y = mx + c , where m represents the gradient (slope) and c , the y-intercept.

given $m = - \frac{3}{5} \text{ then partial equation is } y = - \frac{3}{5} x + c$

To find c , use the point on the line (6 , 2) and substitute into equation.

x = 6 , y = 2 : $- \frac{3}{5} \times 6 + c = 2 \Rightarrow c = 2 + \frac{18}{5} = \frac{28}{5}$

hence equation is : $y = - \frac{3}{5} x + \frac{28}{5}$