Plot the pair of points and find the slope of the line passing through them.(0, 0), (−7, 9)

Step 1: Plot the points on a graph

The first point is (0,0), which is the origin. The second point is (-7,9), which is 7 units to the left and 9 units up from the origin.

Step 2: Draw a line through the points

Draw a straight line that passes through both points. This line represents the line passing through the points.

Step 3: Calculate the slope of the line

The slope of a line is calculated by the formula (y2 - y1) / (x2 - x1). Here, (x1, y1) is the first point (0,0) and (x2, y2) is the second point (-7,9).

So, the slope = (9 - 0) / (-7 - 0) = -9/7.

So, the slope of the line passing through the points (0, 0) and (-7, 9) is -9/7.