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