Question

Find the equation of the line that passes through the points (2, 8) and (-2, 6).

(multiple choice)

A. y = -1/2 x + 9

B. y = -2x + 12

C. y = 1/2 x + 7

D. y = 2x + 4

Answer 1

The correct answer is C. y = 1/2x + 7

In order to find this, we first have to look for the slope. We can do that by using the slope formula below.

m(slope) = (y2 - y1)/(x2 - x1)

m = (8 - 6)/(2 - -2)

m = 2/4

m = 1/2

Now we can solve using the slope intercept form and a given point.

y = mx + b

8 = 1/2(2) + b

8 = 1 + b

7 = b

Now we can put these into the equation and model as y = 1/2x + 7