Write an equation for the line that passes through (-5, 4) and (-4, 2).

y = - 2x - 6

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 ) = (- 5, 4) and (x₂, y₂ ) = (- 4, 2)

m = = = = - 2 , then

y = - 2x + c ← is the partial equation

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

Using (- 4, 2 ) , then

2 = 8 + c ⇒ c = 2 - 8 = - 6

y = - 2x - 6 ← equation of line

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)