Question

Write a linear equation that goes through the points (-1,-10) and (5,2).

Answer 1

Answer:

y = 2x - 8

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, - 10) and (x₂, y₂ ) = (5, 2)

m = $\frac{2-(-10)}{5-(-1)}$ = $\frac{2+10}{5+1}$ = $\frac{12}{6}$ = 2 , then

y = 2x + c ← is the partial equation

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

Using (5, 2 ) , then

2 = 10 + c ⇒ c = 2 - 10 = - 8

y = 2x - 8 ← equation of line