Question

A line includes the points (3, 1) and (5, 7). What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

Y=3x - 8

Explanation:

Slope-intercept is Y=mx +b

Solve for m using the formula (y₂ - y₁) / (x₂ - x₁)

so (7-1) / (5-3)

Solve inside paratheses to get 6/2. Simplify to 3

Solve for b by plugging in our first points (3,1)

1 = 3(3) + b

1 = 9 + b

-8 = b