Question

Find the slope between the points

Answer 1

The slope between the points (4/5, 14/3) and (17/5, 8/3) is equal to -30/13.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

`Slope(m)=(y_2-y_1)/(x_2-x_1)`

By substituting the given data points (4/5, 14/3) and (17/5, 8/3) into the formula for the slope of a line, we have the following;

`Slope(m)=(y_2-y_1)/(x_2-x_1)`

Slope (m) = (8/3 - 14/3)/(17/5 - 4/5)

Slope (m) = (-6/3)/(13/5)

Slope (m) = -2/(13/5)

Slope (m) = -30/13