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 - yâ = m(x - xâ)
where m is the slope and (xâ, yâ ) a point on the line
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (xâ, yâ ) =(- 2, - 1) and (xâ, yâ ) = (2, 1) â 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 (xâ, yâ ) = (- 2, - 1 ), then
y - (- 1) = [tex]\frac{1}{2}[/tex] (x - (- 2) ), that is
y + 1 = [tex]\frac{1}{2}[/tex](x + 2) â equation of line
