linear function
Constant rate relationship
A linear function is a mathematical function whose graph forms a straight line.
In its simplest form, it relates two variables where one changes at a constant rate relative to the other: The relationship between hours worked and pay is a linear function.
The equation typically takes the form y = mx + b, where m is the slope and b is the y-intercept.
Linear functions model proportional relationships and form the foundation of linear algebra.
Angled terrain or steepness
- interceptSeize en route
- x-axisGraph's horizontal reference line
- y-axisGraph's vertical reference
- coordinatesLocation-specifying number pairs
origin · plot · plane · axis · quadrant · rise · run · straight
Without pause or gap
- one-to-oneExactly paired correspondence
- monotonicUnchanging in direction
- increasingBecoming greater in amount
- decreasingBecoming smaller or fewer
invertible · transformation · translation · reflection · parallel · perpendicular · zero · root
Measured speed or charge
- ratioComparative numerical relation
- constantFixed, unvarying quantity
- scaleMeasure of relative size
- proportionalityScaling relationship between quantities
multiplier · factor · unit rate · per · relationship · correspondence · dependent · independent
Required payment amount
- distanceSpace between two points
- timeMeasured passage of moments
- speedRate of motion
- depreciationAsset value reduction over time
salary · temperature · conversion · prediction · model · interpolation · extrapolation · trend
Linear equation format
- standard formConventional way of expressing
- coefficientNumber multiplying a variable
- constantFixed, unvarying quantity
- variableProne to fluctuation
solution · solve · substitute · rearrange · simplify · evaluate · parameter · expression
slope
Angled terrain or steepness
coordinates · origin · plot · plane · axis · quadrant · rise · run · straight · point
continuous
Without pause or gap
- one-to-oneExactly paired correspondence
- monotonicUnchanging in direction
- increasingBecoming greater in amount
decreasing · invertible · transformation · translation · reflection · parallel · perpendicular · zero · root · x-intercept
rate
Measured speed or charge
proportionality · multiplier · factor · unit rate · per · relationship · correspondence · dependent · independent · correlation
cost
Required payment amount
depreciation · salary · temperature · conversion · prediction · model · interpolation · extrapolation · trend · regression
slope-intercept
Linear equation format
- standard formConventional way of expressing
- coefficientNumber multiplying a variable
- constantFixed, unvarying quantity
variable · solution · solve · substitute · rearrange · simplify · evaluate · parameter · expression · formula
- linesdotted, dashed, curved, straight, wavy
- functionssubroutine, handler, lambda, procedure, closure
- linear algebramatrix, vectors, matrices, determinant, variables
- math functionssine, abs, cosine, add, tangent
- coordinate geometrycoordinate, coordinates, coordinate plane, coordinate grid, Cartesian plane
- graphsgraph, bar graph, pie chart, scatter plot, histogram
linear functionquadratic function
Polynomial with highest power two
exponential function · polynomial function · exponential growth · exponential decay · step function
linear functionexponential growth
Quantity multiplying proportionally over time
linear, function, line, lines, lined, lining, liner, linearly, linearity