Answer:
y + 4 = - [tex]\frac{3}{2}[/tex] (x - 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 4) ← 2 points on the line
m = [tex]\frac{-4-2}{2+2}[/tex] = [tex]\frac{-6}{4}[/tex] = - [tex]\frac{3}{2}[/tex]
Using (a, b ) = (2, - 4), then
y - (- 4) = - [tex]\frac{3}{2}[/tex] (x - 2), that is
y + 4 = - [tex]\frac{3}{2}[/tex] (x - 2)
