Slope and y-interceptSlope from an equation
Name: Date:
Write the slope of each line.
1y = 11xm =
2y = 12x + 1m =
3y = −19m =
4y = −11x + 25m =
5y = −9x + 10m =
6y = −8m =
Slope from an equation worksheets
In y = mx + b the slope is the number multiplying x — even when it is hiding. These free printable worksheets ask for the slope of a line straight from its equation.
Kid stuck on one? You don’t just get the sheet.
Slope from an equation
The answer key prints on a separate page.
What's on this sheet
The slope of y = 3x + 5 is 3, the number attached to x, and it says how much y climbs for every step of x. Asked cold, a child has a one-in-two chance of guessing, so these sheets are built around the readings that go wrong rather than the easy ones.
Why this sheet works
Three of those turn up on every sheet. y = x + 4 has an invisible 1 in front of x, and a child who answers 4 has made the mistake it produces. y = 3 has no x at all — a flat line, slope 0, not "no slope". y = 5 − 2x hides the slope behind the constant, and it is −2, not 5. This is the slope-only half of the slope-and-intercept topic; reading the intercept is a separate page, and finding slope from two points is another again.
How this one works
One question from this sheet, worked through a step at a time.
y = 11x
y = 11x
y = 11x
m=11
y = 11x
m=11
- A line written this way carries two facts: how much y moves for each step of x, and where it already is when x is 0. The slope is the first.
- The number multiplying x is 11, so each step of x moves y by 11. There is no constant, so the line starts at 0.
- So m = 11.