Linear Functions
Slope from graph and two points; y=mx+b; standard form; point-slope form; parallel/perpendicular lines; transformations; direct/inverse variation; scatter plots; distance from point to line (NEW v9); distance between parallel lines (NEW v9).
27 worksheetsRead the explainer →
- 1Identify Linear RelationshipsIdentify linear vs nonlinear from tables, graphs and equations.adaptive
- 2Slope from a GraphFind slope (rise/run) from a line graph; positive/negative/zero/undefined.adaptive
- 3Slope from Two PointsCalculate m=(y2-y1)/(x2-x1) for any two points.adaptive
- 4Find Missing Coordinate Using SlopeGiven slope and one point, find a missing coordinate.adaptive
- 5Slope-Intercept Form y=mx+bIdentify slope and y-intercept from equation.adaptive
- 6Graph y=mx+bPlot a line given its slope and y-intercept.adaptive
- 7Write Equation from a GraphDetermine m and b from a graph; write y=mx+b.adaptive
- 8Write Equation from Two PointsFind slope then y-intercept; write equation.adaptive
- 9Write Equation from a TableFind constant rate of change and y-intercept from a table.adaptive
- 10Standard Form Ax+By=C: InterceptsFind x- and y-intercepts from standard form.adaptive
- 11Standard Form: GraphGraph a line given in standard form using intercepts.adaptive
- 12Point-Slope FormWrite y-y1=m(x-x1); convert to slope-intercept.adaptive
- 13Horizontal and Vertical Linesy=k and x=k; identify slope and intercepts.adaptive
- 14Compare Linear FunctionsCompare functions given in different representations.adaptive
- 15Parallel LinesParallel lines have equal slopes; m1=m2.adaptive
- 16Perpendicular LinesPerpendicular lines: m1*m2=-1; negative reciprocal slopes.adaptive
- 17Write Equations for Parallel or Perpendicular LinesWrite equation of line through a point, parallel/perpendicular to given line.adaptive
- 18Transformations of Linear FunctionsEffect of changing m and b on y=mx+b; slope and vertical shifts.adaptive
- 19Direct Variation y=kxIdentify direct variation; find constant of variation k.adaptive
- 20Inverse Variation y=k/xIdentify inverse variation; find constant k; compare with direct.adaptive
- 21Linear Function Word ProblemsWrite and interpret linear functions in context; rate of change.adaptive
- 22Scatter PlotsPlot data points; identify positive/negative/no correlation.adaptive
- 23Line of Best FitDraw line of best fit; use to make predictions.adaptive
- 24CorrelationIdentify type of correlation; distinguish correlation from causation.adaptive
- 25Distance from a Point to a LineApply |ax+by+c|/sqrt(a^2+b^2) to find perpendicular distance.adaptive
- 26Distance Between Parallel LinesApply |c1-c2|/sqrt(a^2+b^2) for lines ax+by+c1=0 and ax+by+c2=0.adaptive
- 27Linear Functions Mixed ReviewMixed review of all linear function topics.adaptive