Find the slope of the line through the pair of points (- 2, - 6) and (2, 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) can be found using the formula: 
slope = (y2 - y1) / (x2 - x1)

Applying this formula to the given points (-2, -6) and (2, 3):
slope = (3 - (-6)) / (2 - (-2)) = 9/4

To plot the points and line, first mark the two given points (-2, -6) and (2, 3) on a coordinate system. Then, connect these two point with a straight line passing through them.

To indicate the rise and run, we need to identify two points on the line which have a difference in their y-coordinates and x-coordinates, respectively. For example, we can choose the points (-2, -6) and (0, -1), which have a rise of 5 units (from -6 to -1), and a run of 2 units (from -2 to 0). We can label these values on the line.

Find the Slope of the Line Through the Pair of Points