Question

How do you determine the slope of the line (3/4,-2) and (1/4,-3)?

Answer 1

The slope is (change in `y`) / (change in `x`).

The change in `y` is the difference of the `y` coordinates and the change in `x` is the difference of the `x` coordinates:

slope `= (Delta y)/(Delta x) = (-3 - (-2))/(1/4 - 3/4)`

`= (-3+2)/((1-3)/4) = (-1)/(-2/4) = (-1)/(-1/2) = 2`