Explanation: The 'slope of a line' referst to how the line looks on a coordinate plane. When given two points, the slope is found by the fraction of the second 'y' minus the first 'y' over the second 'x' minus the first 'x'. The fraction can be considered to be the vertical change over the horizontal change or the 'rise' over the 'run'. Observe these examples of finding the slope of a line:
Given (3, - 4) and (5, 6) The slope is 6- (-4) over 5 - 3, which is 10/2 which is 5
Given (2, - 5) and (2, 3) The slope is 3 - (-5) over 2 - 2, which is 8/0 which is undefined or 'no slope' and the line is a vertical line
Given (- 1, 4) and (- 7, 4) The slope is 4 - 4 over - 7 - (- 1) which is 0/- 6 which is 0
Directions: Find the slope of the line given two points. Try to mentally calculate the slope, and use scratch paper if needed. Strive first for accuracy and then strive for increasing your speed. Good luck and I hope you enjoy the challenge!