Answer:
C and D
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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (9, 3) ← 2 points on the line
m = [tex]\frac{3+6}{9+3}[/tex] = [tex]\frac{9}{12}[/tex] = [tex]\frac{3}{4}[/tex]
Using (a, b ) = (9, 3 ) , then
y - 3 = [tex]\frac{3}{4}[/tex] (x - 9) → C
Using (a, b ) = (- 3, - 6 ), then
y - (- 6) = [tex]\frac{3}{4}[/tex] (x - (- 3) ) , that is
y + 6 = [tex]\frac{3}{4}[/tex] (x + 3) → D
