Calculate the equation of the line through the points (-1, 1), (4.0), and (24,-4). A y = 5x + 6
B y= 1/5x + 4/5
C y= -5x + 4
D y= -1/5x +4/5

D

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 ) = (- 1, 1) and (x₂, y₂ ) = (24, - 4) ← 2 points on the line

m = = = - , then

y = - x + c ← is the partial equation

To find c substitute any of the 3 points into the partial equation

Using (4, 0 ) , then

0 = - + c ⇒ c = 0 + =

y = - x + → D

it is a reproduction.

step-by-step explanation: