Slope and y-interceptFractional slope from an equation
Name: Date:
Write the slope of each line as a fraction.
1y = 58x + 1m =
2y = −23x − 3m =
3y = −25xm =
4y = 45xm =
5y = −92x − 11m =
6y = 32x + 7m =
7y = 98xm =
8y = 23x + 2m =
Fractional slope from an equation worksheets
A slope of 3/4 is a perfectly ordinary slope, and many students meet it after a year of slopes that came out whole. These free printable worksheets read the slope off equations like y = 3/4x + 2, with an answer sheet.
If they get stuck
Fractional slope from an equation
The answer key prints on a separate page.
What's on this sheet
The method is exactly what it was for whole numbers: the slope is the number multiplying x. What changes is what that number says. A slope of 3/4 means the line climbs 3 for every 4 across, so the fraction is already a rise and a run, and nothing has to be worked out to get them.
Why this sheet works
Some of the slopes are negative, and the sign belongs to the whole fraction. A slope of −2/3 falls 2 for every 3 across. The constant at the end is there on purpose too, because a student who is unsure may pick it up instead. It says where the line starts, not how it climbs.
How this one works
y = x + 1
y = x + 1
y = x + 1
m=
- The slope is the number multiplying x, and here that number is a fraction. Nothing else about the line changes.
- means the line climbs 5 for every 8 across. The 1 on its own is where it starts, not how it climbs. So m = .