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

##### 1 Answer

Apr 3, 2016

#### 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 = -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 #

#rArr c = 7 - 4/7 = 45/7 " equation is " y = -1/7 x + 45/7#