Question

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

Answer 1

Answer:

y = 3x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (- 4, - 8)

m = $\frac{-8-4}{-4-0}$ = $\frac{-12}{-4}$ = 3

Note the line passes through the y- axis at (0, 4) ⇒ c = 4

y = 3x + 4 ← equation of line