Given Coordinates: x1 = 4 y1 = -1, x2 = 0 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, -1) and (0, 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 − (-1)/0 − 4
m = 5 + 1/0 − 4
m = 6/-4
m = – 6/4
(Greatest Common Factor of 6 and 4, GCF(6, 4) = 2)m = – 3/2
Therefore, the Slope of a Line given points (4, -1) and (0, 5) is equal to –
3/2
Note: As a decimal number, –
3/2
= -1.5