3. Find the equation of the line that satisfies the given condition.

Question

a) Through (−2, 4) and parallel to the line 𝑦 + 4𝑥 + 1 = 0.
b) Through the points (−1, 3) and (7, 2)

Answer 1

y = -4 x -1
slope = -4
so
y = -4 x + b
4 = -4(-2) + b
4 = -8 + b
b = 12
so
y = -4 x + 12
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b
(2-3) / (7+1) = (y-3) / (x+1)