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