3
y - y1 = m(x - x1),
m = (y2 - y1) / (x2 - x1),
m = (-9 - (-4)) / (-2 - 6)
m = (-9 + 4) / (-2 - 6)
m = -5 / -8
m = 5/8
y - (-4) = (5/8)(x - 6)
y + 4 = (5/8)(x - 6)
Y + 4 = (5/8)x - 15/4
y = (5/8)x - 15/4 - 4
y = (5/8)x - 15/4 - 16/4
Simplifying the expression:
y = (5/8)x - 31/4
Therefore, the equation for the line passing through the points (6, -4) and (-2, -9) is y = (5/8)x - 31/4.
Added 5/26/2023 12:08:57 AM
This answer has been confirmed as correct and helpful.