Question

Given the line below.

Answer 1

Answer:

y + 1 = $\frac{1}{2}$ (x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁ ) a point on the line

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 2, - 1 ) and (x₂, y₂ ) = (2, 1 )

m = $\frac{1-(-1)}{2-(-2)}$ = $\frac{1+1}{2+2}$ = $\frac{2}{4}$ = $\frac{1}{2}$ and (x₁, y₁ ) = (- 2, - 1 ) , then

y - (- 1) = $\frac{1}{2}$(x - (- 2) ) , that is

y + 1 = $\frac{1}{2}$ (x + 2)