Find the slope of the line through the pair of points (- 4, 3) and (4, - 3). Then, plot the points, draw a line through them, and indicate the rise and run on the graph.

Question

Quizplus · Accepted Answer

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
slope = (y2 - y1) / (x2 - x1)

Using (-4, 3) and (4, -3), we get:
slope = (-3 - 3) / (4 - (-4)) = -6/8 = -3/4

To plot the points and draw the line, we can use the following graph:

(-4, 3)   ●                       rise = -6
                                      run = 8
                                     ________
                             
                                     ●   (4, -3)

The rise is the vertical distance between the two points, which is -6. The run is the horizontal distance between the two points, which is 8.

Find the Slope of the Line Through the Pair of Points