Answer:
y + 1 =
(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} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) =(- 2, - 1) and (x₂, y₂ ) = (2, 1) ← 2 points on the line
m =
=
= ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
with point on line (x₁, y₁ ) = (- 2, - 1 ), then
y - (- 1) =
(x - (- 2) ), that is
y + 1 =
(x + 2) ← equation of line