Question

Write the equation of a line that passes through the points (-2, -8) and (2, -6).

Answer 1

Answer:

y = $\frac{1}{2}$ x - 7

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 ) = (- 2, - 8) and (x₂, y₂ ) = (2, - 6)

m = $\frac{-6+8}{2+2}$ = $\frac{2}{4}$ = $\frac{1}{2}$ , thus

y = $\frac{1}{2}$ x + c ← is the partial equation

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

Using (2, - 6), then

- 6 = 1 + c ⇒ c = - 6 - 1 = - 7

y = $\frac{1}{2}$ x - 7 ← equation of line