What is the slope when the lines passes through (2,-5) and (4,7)

Answer 1

Your slope is calculated by the change of Y over the change of X. If you were to plot your points, it's RISE/RUN. Your Rise is your change in Y coordinates and your Run is the change in X coordinates.

Change in Y, RISE = 7 - (-5) = 12

*Remember, subtracting a negative is the same as adding a positive*

Change in X, RUN = 4 - 2 = 2

Slope = 12⁄2 = 6

Answer 2

Use the slope formula:

Where, in this case x₁ = 2, y₁ = -5, x₂ = 4, and y₂ = 7 and "m" is the slope.

Plug these in to get:

m = (7 - -5)/(4 - 2) = (7 + 5)/(4 - 2) = 12/2 = 6