Answer:
y + 1 = [tex]\frac{1}{2}[/tex] (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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) =(- 2, - 1) and (x₂, y₂ ) = (2, 1) ← 2 points on the line
m = [tex]\frac{1+1}{2+2}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
with point on line (x₁, y₁ ) = (- 2, - 1 ), then
y - (- 1) = [tex]\frac{1}{2}[/tex] (x - (- 2) ), that is
y + 1 = [tex]\frac{1}{2}[/tex](x + 2) ← equation of line
