Question

Calculate the equation of the line through the points (-1, 1), (4.0), and (24,-4).

Answer 1

Good luck to you! Ask if you have any questions.

Answer 2

Answer:

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 = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (24, - 4) ← 2 points on the line

m = $\frac{-4-1}{24+1}$ = $\frac{-5}{25}$ = - $\frac{1}{5}$ , then

y = - $\frac{1}{5}$ x + c ← is the partial equation

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

Using (4, 0 ) , then

0 = - $\frac{4}{5}$ + c ⇒ c = 0 + $\frac{4}{5}$ = $\frac{4}{5}$

y = - $\frac{1}{5}$ x + $\frac{4}{5}$ → D