Find Slope From Two Points, Integer Coordinates

Start with the rise over run graph sheet, then the two point sheets. Use the True or False and matching sheets for practice, and save the maze and path puzzles for review.

Find the slope through 12 pairs of integer points, from (2, 3) and (6, 11) to (−9, 2) and (−3, −8). The directions on the page read: Find the slope m of the line through each pair of points. In the box, divide the change in y by the change in x. Write each slope in simplest form. An answer key is included.

Yes, both. We made it for 8th grade linear equations, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

Slope m equals the change in y divided by the change in x between two points. Subtract the coordinates in the same order. For (−3, −5) and (−1, −1), m = 4 divided by 2, which is 2.

A horizontal line has zero slope because y does not change. A vertical line has undefined slope because x does not change, and dividing by 0 is not possible. Classify Slopes on Graphs as Four Types sorts lines into positive, negative, zero and undefined.

Pick two rows and divide the change in y by the change in x. Watch the x column, because it may jump by more than 1. True or False, Slope From Tables With Uneven x Steps practices this.

Compare the slopes without their signs. The slope farther from 0 belongs to the steeper line. Slope Review From Graphs, Tables and Points ends with two steeper line questions.