Question

Which equation represents the line that passes through the points (6, -3) and (-4, -9)?
A. Y + 4 = 3/5 (x + 9)
B. Y + 4 = 5/3 (x + 9)
C. Y - 3 = 3/5 (x + 6)
D. Y + 3 = 3/5 (x - 6)

Answer 1

(6,-3)(-4,-9)
slope = (-9 - (-3) / (-4 - 6) = (-9 + 3) / -10 = -6/-10 = 3/5

y - y1 = m(x - x1)
slope(m) = 3/5
(6,-3)..x1 = 6 and y1 = -3
now we sub
y - (-3) = 3/5(x - 6) =
y + 3 = 3/5(x - 6) <== one answer

y - y1 = m(x - x1)
slope(m) = 3/5
(-4,-9)....x1 = -4 and y1 = -9
now we sub
y - (-9) = 3/5(x - (-4) =
y + 9 = 3/5(x + 4) <== another answer

there are 2 answers....but the only one listed is answer D