# slope

## Idioms about slope

## synonym study for slope

## usage note for slope

## OTHER WORDS FROM slope

slop·ing·ly, adverbslop·ing·ness, nounun·sloped, adjectiveun·slop·ing, adjective## Words nearby slope

## MORE ABOUT SLOPE

## What does *slope* mean?

In mathematics, the *slope* (also called the *gradient*) of a line is a measurement of how steep the line is or how much of a slant it has.

In math, a line is an object with no thickness that extends forever in both directions. In basic math, we assume lines to be perfectly straight, meaning they don’t curve or change directions to form angles.

Take a piece of graph paper to create a Cartesian plane by drawing two perpendicular lines. These two lines are called the axes. The axis going sideways is the x-axis, and the axis going up and down is the y-axis. We use these axes to label where any point on the plane is located. You can then measure the *slope* of a line compared to the x-axis by using the Cartesian coordinates on your Cartesian plane.

## Why is *slope* important?

The first records of the word *slope*, which has several other meanings, come from around 1495. It emerged as a variant of the word *aslope*, meaning “diagonally” or “aslant.” Mathematical *slopes* and (Cartesian coordinates) were formulated by mathematician and philosopher René Descartes (1596–1650).

In basic math, we only measure *slopes* of straight lines. Finding the *slopes* of curved or nonlinear lines is much more complicated and is usually used to introduce students to derivatives in calculus.

## Did you know … ?

A horizontal line has a *slope* of 0, while a vertical line has an undefined *slope*. The reason for the undefined *slope* is that the x coordinates would be the same and equal 0 when subtracted from each other. Because you cannot divide by 0, the *slope* of a vertical line is impossible to determine.

## What are real-life examples of *slope*?

*Slopes* and *slope* formulas are a relatively simple mathematical concept that will nonetheless cause misery to students who don’t enjoy math.

Got a B- in 8th grade algebra but I still remember how to calculate a slope, so I've got that going for me

— Michael’s Twiter.com Page (@ErrorAustralis) November 21, 2016

8th gr. math students draw their name using only straight lines and then identify the different types of slope using Apple notes! #WPSIgnitelearning #WPSProud @WichitaUSD259 pic.twitter.com/COjQVCVtDp

— Curtis Middle School (@curtisusd259) September 16, 2021

## What other words are related to *slope*?

## Quiz yourself!

**True or False?**

In mathematics, the *slope* of a line is calculated using Cartesian coordinates.