# What is the slope intercept form of the line with a slope of -1/7  that passes through  (-4,7) ?

Apr 3, 2016

$y = - \frac{1}{7} x + \frac{45}{7}$

#### Explanation:

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

Partial equation is therefore: $y = - \frac{1}{7} x + c$

To find c, use (-4,7) and substitute x = -4 , y = 7 into the equation.

hence :  -1/7xx-4 + c = 7 → 4/7 + c = 7

$\Rightarrow c = 7 - \frac{4}{7} = \frac{45}{7} \text{ equation is } y = - \frac{1}{7} x + \frac{45}{7}$