Question

A line passes through the points (2, 8) and (1, 3). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

y=5x-2

Explanation:

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

m=(3-8)/(1-2)

m=-5/-1

m=5

y-y1=m(x-x1)

y-8=5(x-2)

y-8=5x-10

y=5x-10+8

y=5x-2

Answer 2

y = 5x - 2

Explanation:

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

Using (2, 8) and (1, 3)

m = (3 - 8)/(1 - 2) = -5/-1 = 5

Slope-intercept: y = mx + b

y = 5x + b

Using (2,8)

8 = 5(2) + b

8 = 10 + b

b = -2

then y = 5x - 2