Question

find the slope of the line through the points of (8,-7) and (5,3)

Answer 1

We are asked to find the slope of the line that passes through the following points.

$\mleft(8,-7\mright)\text{ and }(5,3)$

The slope of the line is given by

$m=\frac{y_2-y_1}{x_2-x_1}$

Let us substitute the given values into the slope formula

$m=\frac{3-(-7)}{5-8}=\frac{3+7}{-3}=-\frac{10}{3}$

Therefore, the slope of the line is -10/3

We can also plot this slope in a graph as

We start at the given point (5, 3)

Then we move 10 units down (shown in black)

Then we move 3 units right (shown in red)

Please note that the slope was negative that is why we are moving down.

If the slope was positive then we would have moved upward.