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

Answer:

# y = -1/7 x + 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 = -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#