Question #d3517

1 Answer
Oct 29, 2017

#y=(3/4)x+1#

Explanation:

The slope between two points #(x_1, y_1) & (x_2, y_2)# is:
#m=(y_2-y_1)/(x_2-x_1)# => thus in this case the slope between
#(4, 4) & (-4, -2)# is:
#m=(-2-4)/(-4-4)=(-6)/(-8)=3/4#
using point slope formula:
#y-y_1=m(x-x_1)#, we get:
#y - 4=3/4(x-4)#, expand and simplify:
#y=(3/4)x+1# => equation in slope-intercept form