Question

What is an
equation of the line that passes through the points (-4, 2) and
(-8, -3)?

Answer 1

y = 5/4 (x) + 7

Step-by-step explanation:

Slope of a line (m): (y₂ - y₁) ÷ (x₂ - x₁)

Slope: (2 - -3) ÷ (-4 - -8) = 5 ÷ 4 = 5/4

Point slope form: y - y₁ = m (x - x₁)

Equation: y - 2 = 5/4 (x - -4)

distribute the 5/4

y - 2 = 5/4 (x) + 5

add 2 to both sides

y = 5/4 (x) + 7

I hope this helps!