linear functions
Graphs making lines
A linear function is a mathematical relationship where the output changes at a constant rate relative to the input, producing a straight line when graphed.
The standard form is y = mx + b, where m is the slope and b is the y-intercept.
Linear functions model proportional relationships: The cost is a linear function of quantity.
In higher mathematics, linear functions preserve addition and scalar multiplication, a more abstract but related sense.
Angled terrain or steepness
- y-interceptVertical axis crossing point
- x-interceptWhere curve crosses horizontal
- coordinate planeTwo-axis graphing system
- plottingDevising a secret plan
axes · origin · rate of change · graph · standard form · intersection · zero · domain
Prone to fluctuation
- coefficientNumber multiplying a variable
- constantFixed, unvarying quantity
- expressionConveyed thought or feeling
- solvingFinding the answer
substitution · elimination · system of equations · simultaneous equations · solution · composition · transformation · translation
Measure of variation speed
- proportionalScaled to match another
- unit rateQuantity per single measure
- revenueBusiness income total
- profitGain exceeding expenditure
depreciation · interpolation · extrapolation · prediction · trend · correlation · regression · best fit
slope
Angled terrain or steepness
- y-interceptVertical axis crossing point
- x-interceptWhere curve crosses horizontal
- coordinate planeTwo-axis graphing system
plotting · axes · origin · rate of change · graph · standard form · intersection · zero · domain · range
variable
Prone to fluctuation
- coefficientNumber multiplying a variable
- constantFixed, unvarying quantity
- expressionConveyed thought or feeling
solving · substitution · elimination · system of equations · simultaneous equations · solution · composition · transformation · translation · reflection
rate of change
Measure of variation speed
- proportionalScaled to match another
- unit rateQuantity per single measure
- revenueBusiness income total
profit · depreciation · interpolation · extrapolation · prediction · trend · correlation · regression · best fit · real-world
- mathematical functionslogarithm, absolute value, square root, tangent, secant
- precalculuspolynomials, trigonometry, logarithms, domain, range
- geometryangles, circles, angle, shapes, volume
- increasing functionsnatural log
linear functionsquadratic functions
Expressions with squared terms
exponential functions · parabolas · curves · trigonometric functions
linear, function, line, lines, lined, lining, liner, lineage, lineal