Find the vertical change and divide it by the horizontal change.
Free Interactive Algebra Tool
Slope Practice
Learn how to find slope from two points, a graph, or a linear equation. Practice rise and run while building an understanding of positive, negative, zero, and undefined slope.
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Review the slope formula, rise over run, slope from graphs, slope from equations, and the difference between positive, negative, zero, and undefined slope.
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Problem 1 of 10
10%
Current Problem
Find the slope between the two points.
Two Points
Beginner
Problem
Find the slope between
(2, 3)
and
(6, 11).
1
Change
2
Formula
3
Slope
Step 1
Find the vertical change
Start by finding the change in the y-values.
Point 1
(2, 3)
Point 2
(6, 11)
Step 1
Identify two points on the line
Use the graph to identify the rise and run between two points on the line.
Rise
?
Run
?
Step 1
Identify the equation form
Look for the coefficient that represents the slope.
y = 3x + 2
Step 1
Describe the direction of the line
Determine whether the line has positive, negative, zero, or undefined slope.
Start by finding the change in the y-values.
Hint
Subtract the y-values in the same order that you subtract the x-values.
Slope Reference
Rise measures vertical change. Run measures horizontal change.
In slope-intercept form, the coefficient m is the slope.
The line rises as you move from left to right.
The line falls as you move from left to right.
Vertical: undefined
Horizontal lines have zero slope. Vertical lines have undefined slope.
Problem Complete
Slope: 2
The line rises 2 units for every 1 unit it moves to the right.
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You completed all 10 slope problems.
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Find the rise
Compare the y-values to determine how far the line moves vertically between two points.
Find the run
Compare the x-values to determine how far the line moves horizontally between the same two points.
Divide rise by run
The ratio of vertical change to horizontal change tells you the slope and steepness of the line.
Example
How do you find slope from two points?
Find the slope between (2, 3) and (6, 11).
1
Find the change in y
11 − 3 = 8
2
Find the change in x
6 − 2 = 4
3
Divide rise by run
m = 8 / 4 = 2
The slope is 2, meaning the line rises 2 units for every 1 unit it moves to the right.
Practice Finding Slope Step by Step
Slope measures the rate of change of a line. It tells you how much the y-value changes compared with the change in the x-value. Students often describe this relationship as rise over run.
This interactive slope practice tool helps students connect the different ways slope appears in Algebra 1, including coordinate points, graphs, and linear equations.
Find Slope From Two Points
When two points on a line are known, slope can be found using the slope formula. Subtract the y-coordinates to find the vertical change, subtract the x-coordinates in the same order to find the horizontal change, and divide the two results.
Find Slope From a Graph
On a coordinate plane, slope can be visualized as rise over run. Starting at one point on the line, measure the vertical movement and horizontal movement needed to reach another point.
Find Slope From an Equation
A linear equation written in slope-intercept form, y = mx + b, shows the slope directly. The coefficient of x is m, which represents the slope of the line.
Positive, Negative, Zero, and Undefined Slope
Lines that rise from left to right have positive slope, while lines that fall have negative slope. Horizontal lines have zero slope because their y-values do not change. Vertical lines have undefined slope because their horizontal change is zero.
Three Difficulty Levels
Beginner problems emphasize integer coordinates and simple slopes. Intermediate problems introduce negative values and fractional slopes. Advanced practice includes more challenging coordinates, equations, and mixed representations.
Build Skills for Linear Equations and Graphing
Understanding slope is an important foundation for graphing linear equations, writing equations of lines, comparing rates of change, studying parallel and perpendicular lines, and solving systems of linear equations.