Question

Use the siope formula to find the slope beiweenthe points: (-1,2) and (3,- 3)m=nePlot (-1,2) and (3, -- 3)and draw the line:3Use the graph to confirm the slope

Answer 1

The slope (m) between two points A and B is given by the formula:

$m_{AB}=\frac{y_B-y_A}{x_B-x_A}$

Replace the coordinates of the points (-1,2) and (3,-3) into the formula to find the slope between them:

$m=\frac{(-3)-(2)}{(3)-(-1)}=\frac{-3-2}{3+1}=-\frac{5}{4}$

Plot the given points in the coordinate plane and draw the line through them:

Notice that the line goes down by 5 units for each 4 units that it goes to the right. This confirms that the value of the slope is -5/4.

Therefore, the slope between the points (-1,2) and (3,-3) is -5/4.