easy
The ramp has a gentle slope.
What does Slope mean?
Slope is a line’s rate of change: vertical change divided by horizontal change.
Dictionary definition
In mathematics, the rate of vertical change compared with horizontal change between points on a line; slope can also mean a slanted surface or to slant upward or downward.
Example sentences
Slope in a sentence
medium
The line has slope two because y rises two units whenever x increases by one.
hard
A vertical line has undefined slope because its horizontal change is zero.
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Practice the meaning of Slope
Answer three quick questions about its meaning and related words.
Question 1 of 3
Practice 1
What is the slope between (1, 2) and (3, 6)?
The vertical change is 4 and horizontal change is 2, so slope = 4/2 = 2.
Practice 2
Which line has zero slope?
A horizontal line has no vertical change, so rise/run is 0.
Practice 3
Why is a vertical line’s slope undefined?
Division by zero is undefined.
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Slope
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WordSlope.
Partnoun, verb.
MeaningSlope is a line’s rate of change: vertical change divided by horizontal change.
ExampleExample: The ramp has a gentle slope.
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Synonyms
Words like Slope
Antonym review
Does Slope have an opposite?
Slope has mathematical, surface, and verb senses but no direct antonym. Level and flat contrast with a physical incline and correspond to zero slope in some graphs, but they do not oppose every sense.
Synonym practice
Want to practice slope synonyms in context? Try a Synonym Search question like "The sled moved quickly down the snowy slope," then compare close word choices. Practice slope synonyms.
Word family
Slope word family
Base word
slope
verb
slopes
Slants upward or downward.
adjective
sloped
Having an incline.
adjective
sloping
Rising or falling at an angle.
Related words
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Student support
Understand Slope
Hint for students
Use the same point order in both differences: slope = (y₂ − y₁)/(x₂ − x₁).
Common mix-up
A vertical line does not have “infinite slope” in elementary algebra; its slope is undefined. A horizontal line has slope zero.
Try it in class or at home
Measure rise and run on a staircase or ramp model, graph the relationship, and explain what the slope means with units.
Teacher prompt
Compare lines with positive, negative, zero, and undefined slopes. Use two points on each line to calculate vertical change over horizontal change.
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