Given Coordinates: x1 = -4 y1 = 3, x2 = 2 y2 = -5
Slope Formula: m =
Substitute the given coordinates into the Slope Formula and Simplify:m =
Therefore, the Slope of a Line given points (-4, 3) and (2, -5) is equal to –
Note: As a decimal number, –
Slope Formula: m =
y2 − y1/x2 − x1
Substitute the given coordinates into the Slope Formula and Simplify:m =
-5 − 3/2 − (-4)
m = -5 − 3/2 + 4
m = -8/6
m = – 8/6
(Greatest Common Factor of 8 and 6, GCF(8, 6) = 2)m = – 4/3
Therefore, the Slope of a Line given points (-4, 3) and (2, -5) is equal to –
4/3
Note: As a decimal number, –
4/3
≈ -1.3333333333333