We've updated our
Privacy Policy effective December 15. Please read our updated Privacy Policy and tap


Study Guides > College Algebra CoRequisite Course

Summary: Review

Key Concepts

  • A linear function can be graphed by making a table of inputs and outputs then plotting them as points on a coordinate plane, then drawing a line between them.
  • The slope of the graph of a linear function can be calculated given any two ordered pairs [latex]\left(x, f(x)\right)[/latex].
  • The slope of the graph of a linear function by examining whether the function values rise, fall, or remain constant as the function input increases.
  • The units for the rate of change are given in a ratio of input units over output units.
  • The slope of the graph of a linear function represents the rate of change in the function values over a given change in input.


average rate of change
the slope of a line between two points on the graph of a function, calculated via a ratio of the change in function output over the corresponding change in function input
ordered pair
a coordinate pair of input and output, [latex]\left(x, f(x)\right)[/latex]
a measurement of the steepness of a line graphed in the plane.
slope-intercept form

Licenses & Attributions

CC licensed content, Original