- the tangent of the angle between a given straight line and the x-axis of a system of Cartesian coordinates.
- the derivative of the function whose graph is a given curve evaluated at a designated point.
Idioms about slope
synonym study for slope
usage note for slope
OTHER WORDS FROM slopeslop·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?
True or False?
In mathematics, the slope of a line is calculated using Cartesian coordinates.
How to use slope in a sentence
In other words, the slope of the power spectrum was steeper.Brain’s ‘Background Noise’ May Hold Clues to Persistent Mysteries|Elizabeth Landau|February 8, 2021|Quanta Magazine
Don’t forget your soft goods, though—staying warm and dry on the slopes makes any day more fun.How to Wash Your Ski Kit|Joe Jackson|January 30, 2021|Outside Online
Exercise has moved from the slopes and onto basement treadmills or stationary bikes, with a few squats and push-ups mixed in.Why and how to plan next season’s epic ski trip|Rachel Walker|January 21, 2021|Washington Post
Luckily the best ski goggles offer anti-fogging technology to keep your goggles free of condensation and your vision sharply on the slopes.Best ski goggles: What to look for in a pair you’ll love|Eric Alt|January 20, 2021|Popular-Science
Instead, they searched for factors, such as wind speed and slope, that could help them predict a fire’s next move in real time.What the complex math of fire modeling tells us about the future of California’s forests|Amy Nordrum|January 18, 2021|MIT Technology Review
Historically, conservatives treated the minimum wage as an affront to free labor and a step on a slippery slope towards statism.To Make Their Victory Durable, the GOP Must Fix the Minimum Wage|Dmitri Mehlhorn|November 6, 2014|DAILY BEAST
Swiss leaders also dispel the “slippery slope” idea by repeatedly rejecting substantial minimum wage increases.To Make Their Victory Durable, the GOP Must Fix the Minimum Wage|Dmitri Mehlhorn|November 6, 2014|DAILY BEAST
The slippery slope argument is a way of keeping the hands-off-the-Internet-entirely philosophy going.Congress, Big Tech Fight Over Child Prostitution Bill|Tim Mak|October 6, 2014|DAILY BEAST
Yes, there are signs that even hipsters are starting to prefer Central Park to Park Slope.Why the Upper East Side Is Now Cooler Than Brooklyn|Tom Teodorczuk|September 2, 2014|DAILY BEAST
Nobody else thought that his patch, on a 60-degree angled slope, was viable as a vineyard.Napa’s Earthquake Is Not The Only Thing Shaking The Vineyards|Clive Irving|August 31, 2014|DAILY BEAST
I turned away from the bank and raced up a long slope to a saw-backed ridge that promised largely of unobstructed view.
It lit up every ridge and hollow for two or three seconds, and showed me four riders tearing up the slope at a high run.
We followed the upland past the end of the Stone till we found a slope that didn't require wings for descent.
As we stepped from behind the rock three riders came into sight on the opposite slope of Lost River.
The lone pine on the stone cap of Gander Knob waved its farewell, and we clattered down the long slope into the great world.The Soldier of the Valley|Nelson Lloyd
British Dictionary definitions for slope
- (of a line) the tangent of the angle between the line and another line parallel to the x- axis
- the first derivative of the equation of a curve at a given point