Question 174921
First, determine the slope between the two points:
(2,4) and (6,-2)
m = (y2-y1)/(x2-x1)
m = (-2-4)/(6-2)
m = (-6)/(4)
m = -3/2
.
Next, use the slope above and one (2,4) of the two points provided and plug it into the "point-slope" form:
y-y1 = m(x-x1)
y-4 = (-3/2)(x-2)
y-4 = (-3/2)x - 2(-3/2)
y-4 = (-3/2)x + 3
y = (-3/2)x + 7 (this is what they're looking for)