A line passes through points (-2,7) and (3,-8).
Part 1: Calculate the slope of a line. Show ALL of your work.
To calculate the slope of a line passing through two points, we use the formula:
slope = (y2 - y1) / (x2 - x1)
Given points (-2,7) and (3,-8), we can substitute these values into the formula:
slope = (-8 - 7) / (3 - (-2))
slope = (-15) / (3 + 2)
slope = -15 / 5
slope = -3
Therefore, the slope of the line passing through the points (-2,7) and (3,-8) is -3.