What is an equation of the line that passes through the points (−8,0) and (8,4)?

Answer 1

Using the given points, find the slope:

Slope Equation: m = Δy/Δx

m = (4 - 0)/(8 -(-8)) ⇒ Solve

m = 4/16 ⇒ Simplify

m = 1/4

Using the point-slope equation, solve for the line:

Point-Slope Equation: y - y₁ = m (x - x₁)

Using Point 1 (-8, 0):

y - 0 = 1/4 (x - (-8))

y - 0 = 1/4 (x + 8) ⇒ Distribute

y = 1/4x + 8/4 ⇒ Simplify

y = 1/4x + 2

Answer: y = 1/4x + 2