Graph a Line From a Point and a Slope

Start with Find the Slope From a Graph so students see rise over run, then move to the two point sheets. The maze and riddle sheets work as review, since a wrong slope leads to a wrong path or letter.

Plot point P, count the rise and run for 8 positive slopes like 2 and 5/3, and draw each line. The directions on the page read: Plot point P. From P, count up the rise and right the run of the slope m, and plot the new point. Draw the line through both points. Write the new point. The page opens with a worked example, and an answer key is included.

Yes, both. We made it for 7th grade algebra, 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.

Pick two points on the line, count the rise (up or down) and the run (left to right), and divide the rise by the run. Find the Slope From a Graph marks the two points for students, and Fraction Slopes From Graphs has them choose grid corners on their own.

Slope m equals the change in y divided by the change in x, using the same order for both. For (−3, 8) and (−1, −4), m = −12 ÷ 2 = −6. Slope From Points With Negative Coordinates practices keeping the order straight.

A horizontal line has a slope of 0 because the y values do not change. A vertical line has an undefined slope because the change in x is 0 and you cannot divide by 0. Zero and Undefined Slopes has students label 14 point pairs.

Plot the point, then count the rise and the run of the slope to plot a second point, and draw the line through both. For a negative slope, count down instead of up. Graph a Line From a Point and a Slope and Graph Lines With Negative Slopes practice each case.