Question

Which equation represents the line that passes through (–8, 11) and (4, 7/2)?

Answer 1

Because the points are on the same line, the slope that is found using these points is the same
m1=m2
(y-y1)/(x-x1)=(y-y2)(x-x2)
(y-11)/(x+8)=(y-7/2)/(x-4)
(y-11)(x-4)=(y-7/2)(x+8)
yx-4y-11x+44 = yx +8y-(7/2) x-28
-4y-11x+44=8y-(7/2) x-28
8y+4y=-11x+(7/2)x+72
12y=-(22/2)x+(7/2)x+72
12y=-(15/2)x+72
y=-(15/(2*12))x+72/12
y=(-5/8)x+6  correct answer