How do you find slope from two points?

Subtract the y-values for the rise, subtract the x-values in the same order for the run, then divide and simplify.

What does a negative slope mean?

The line falls from left to right; a positive slope rises, and a zero slope is horizontal.

Slope & Linear Relations · Grades 9–9

Slope & Linear Relations Worksheets

Rise over run, or change in y over change in x. Grade 9 worksheets for finding the slope of a line from two points.

Generate slope & linear relations worksheets →

Free plan · 5 credits every month · answer keys included · no card required.

What it is

Slope measures the steepness of a line: how much it rises for each unit it runs. m = (y₂ − y₁) ÷ (x₂ − x₁).

Why it matters

Slope is the foundation of linear relations, graphing, and rates of change, the core of Grade 9 math and everything built on functions afterward.

How to do it

Label your two points (x₁, y₁) and (x₂, y₂).
Subtract the y-values for the rise, and the x-values (in the same order) for the run.
Divide rise by run and simplify the fraction.

Examples by level

BeginnerSlope through (5, 0) and (6, 1) =1
IntermediateSlope through (-4, 0) and (-6, 10) =-5
AdvancedSlope through (6, 2) and (-7, 4) =-2/13

Examples are generated by the same engine as the worksheets, so they're always mathematically correct. Built to avoid repeats, not reshuffle the same handful of questions.

Common mistakes

Subtracting coordinates in a different order top and bottom.
Mixing up rise and run.
Forgetting to simplify the fraction.

Tips

Subtract the coordinates in the same order top and bottom.
A negative slope falls left to right; zero slope is flat.

For parents

Say it out loud: 'change in y over change in x.' Keeping the order consistent avoids sign errors.

For teachers

Connect slope to real rates (speed, cost per unit) so it isn't just a formula.

Key vocabulary

slope: rise over run
rise: change in y
run: change in x

Frequently asked questions

How do you find slope from two points?: Subtract the y-values for the rise, subtract the x-values in the same order for the run, then divide and simplify.
What does a negative slope mean?: The line falls from left to right; a positive slope rises, and a zero slope is horizontal.

Ready to practice?

Generate a print-ready slope & linear relations pack with answer keys: pick a grade and difficulty, and it's ready in seconds.

Create free worksheets

Free to start · answer keys included · your first pack unlocks 14 days of Standard · no card required.