Question

find the slope of the line through (3,-6) and (5,8)

Answer 1

Do you know the formula for slope?

Answer 2

\[\large Slope = \frac{y_2-y_1}{x_2-x_1}\]

Answer 3

Slope measures how steep the line is. In this case, the line is given as above.

Steepness is the ratio of "how high" the line goes for "how far" it goes.

How high = difference of "y" coordinates
How far = difference of "x" coordinates.

Slope = Ratio = How high/How far