In math, the slope explains how steep a directly line is. It is sometimes called the gradient.

You are watching: Y1-y2 over x1-x2

Equations for SlopeThe steep is defined as the "change in y" over the "change in x" the a line. If you pick two points on a heat --- (x1,y1) and also (x2,y2) --- you can calculate the steep by splitting y2 - y1 end x2 - x1.Here space the formulas offered to discover the slope of a line:
*

*

This line goes v the point out (0,0) and also (3,3).Slope = (y2 - y1)/(x2 - x1)= (3 - 0)/(3 - 0)= 3/3= 1This line has actually a steep of 1. Try using various points top top the line. You should acquire the very same slope regardless of what points you use.
*

You can see the the line includes the clues (-2,4) and (2, -2).Slope = (y2 - y1)/(x2 - x1)= (-2 - 4))/(2 - (-2))= -6/4= - 3/2Special CasesSome special situations include horizontal and vertical lines.A horizontal heat is flat. The adjust in y is 0, so the steep is 0.A vertical line has a change in x of 0. Since you can"t division by 0, a vertical line has actually an undefined slope.Up or down - positive or an adverse SlopeIf you look in ~ the line from left come right, a line that is relocating up will have a positive slope and a line that is relocating down will have a an adverse slope. You have the right to see this on the 2 example problems above.
Rise over RunAnother way to remember just how the slope works is "rise over run". Girlfriend can draw a best triangle using any two points on the line. The increase is the distance that the heat travels up or down. The operation is the street that the line travels native left to right.

See more: How Is A Dichotomous Key Used? What Is A Dichotomous Key

*
Things to RememberSlope = readjust in y over the adjust in xSlope = (y2 - y1)/(x2 - x1)Slope = climb over runYou have the right to pick any type of two clues on a heat to calculation the slope.You can double check her answer by trying various points ~ above the line.If the line is walking up, indigenous left come right, the steep is positive.If the line is walking down, indigenous left come right, the steep is negative.More Geometry SubjectsCirclePolygonsQuadrilateralsTrianglesPythagorean TheoremPerimeterSlopeSurface AreaVolume that a box or CubeVolume and Surface Area of a SphereVolume and also Surface Area the a CylinderVolume and Surface Area that a ConeAngles glossaryFigures and Shapes glossary

Back come Kids Math

Back to Kids Study



*

HomeworkAnimalsMathHistoryBiographyMoney and FinanceBiographyArtistsCivil rights LeadersEntrepreneursExplorersInventors and also ScientistsWomen LeadersWorld LeadersUS Presidents united state HistoryNative AmericansColonial AmericaAmerican RevolutionIndustrial RevolutionAmerican polite WarWestward ExpansionThe good DepressionCivil rights MovementPre-1900s1900 to PresentUS GovernmentUS State HistoryScienceBiologyChemistryEarth SciencePhysics people HistoryAncient AfricaAncient ChinaAncient EgyptAncient GreeceAncient MesopotamiaAncient RomeMiddle AgesIslamic EmpireRenaissanceAztec, Maya, IncaFrench RevolutionWorld war 1World battle 2Cold WarArt HistoryGeographyUnited StatesAfricaAsiaCentral AmericaEuropeMiddle EastNorth AmericaOceaniaSouth AmericaSoutheast AsiaFun StuffEducational GamesHolidaysJokes because that KidsMoviesMusicSports