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Answer:
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 =
with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (1, 13) ← 2 points on the line
m = =
= 3
Use either of the 2 points for (a, b)
Using (a, b) = (- 2, 4), then
y - 4 = 3(x - (- 2)), that is
y - 4 = 3(x + 2) → D