Answer:
E, D and E
Step-by-step explanation:
(28)
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate the slope using the slope formula
m =
with (x₁, y₁ ) = A (- 2, 3) and (x₂, y₂ ) = B (2, - 3) ← 2 points on the line
m = = = = -
y = - x → E
(29)
Using the slope formula
with (x₁, y₁ ) = A (- 2, -4) and (x₂, y₂ ) = B (0, 4) ← 2 points on the line
m = = = = 4 → D
(30)
(x + 2)(x + 4)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 4) + 2(x + 4) ← distribute both parenthesis
= x² + 4x + 2x + 8 ← collect like terms
= x² + 6x + 8 → E