Write the equation of a line in slope-intercept form that goes through the points (4, -2) and (-4, -4).
A. y = 4x - 3
B. y = 4x - 2
C. y = 1/4x - 3
D. y = 1/4x - 2

C

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 =

with (x₁, y₁ ) = (4, - 2) and (x₂, y₂ ) = (- 4, - 4)

m = = = , thus

y = x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (- 4, - 4), then

- 4 = - 1 + c ⇒ c = - 4 + 1 = - 3

y = x - 3 → C