Graph Lines in Slope-Intercept Form, Fraction Slopes

Teach graphing first with the integer and fraction slope sheets. Then use the matching sheets, and finish with the True or False sheets and the four form sort as a review.

Graph lines with fraction slopes like y = 2/3x − 4 by moving the rise and run from the y-intercept. For a fraction slope m, the rise is the numerator, the change in y, and the run is the denominator, the change in x. The directions on the page read: Plot the y-intercept b. From b, move up by the rise (down if the slope is negative), then right by the run, and plot a point. Repeat from that point, then draw the line through all three points. 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.

Plot the y-intercept b on the y-axis. From there, move by the rise and run of the slope m to plot more points, then draw the line. For y = 2/3x − 4, start at (0, −4), go up 2 and right 3.

Find b in the row where x = 0. Find m by dividing the change in y by the change in x. If no row has x = 0, substitute one row into y = mx + b to solve for b.

Substitute every column of the table into the equation, not just the first. If any column does not work, the equation is false. Three True or False sheets practice this and ask for the correct equation.