Given Coordinates: x1 = 4 y1 = 5, x2 = 10 y2 = -7
Slope Formula: m =
Substitute the given coordinates into the Slope Formula and Simplify:m =
m = -2
Therefore, the Slope of a Line given points (4, 5) and (10, -7) is equal to -2
Slope Formula: m =
y2 − y1/x2 − x1
Substitute the given coordinates into the Slope Formula and Simplify:m =
-7 − 5/10 − 4
m = -12/6
m = – 12/6
(Greatest Common Factor of 12 and 6, GCF(12, 6) = 6)m = -2
Therefore, the Slope of a Line given points (4, 5) and (10, -7) is equal to -2