Linear Equations
Identify linear vs nonlinear; gradient from graph and from two points; missing coordinate from gradient; gradient and y-intercept from y = mx + c; graph y = mx + c; write equations from graphs, tables and word problems; rearrange into y = mx + c.
24 worksheetsRead the explainer →
- 1Identify Linear and Nonlinear RelationshipsDecide whether a table, equation or graph describes a linear relationship.adaptive
- 2Find the Gradient of a GraphFind the gradient of a line from a described graph.adaptive
- 3Find the Gradient from Two PointsUse m = (y₂ − y₁)/(x₂ − x₁) to find the gradient between two points (NEW v9 formal).adaptive
- 4Find a Missing Coordinate Using GradientGiven the gradient and one point, find a missing coordinate of a second point.adaptive
- 5Find Gradient and y-Intercept of a Linear EquationIdentify the gradient m and y-intercept c from y = mx + c.adaptive
- 6Graph an Equation in y = mx + c FormIdentify which described graph matches a given equation.adaptive
- 7Write Equation in y = mx + c from a GraphWrite y = mx + c from a described graph.adaptive
- 8Write Equation in y = mx + cWrite y = mx + c given gradient and y-intercept.adaptive
- 9Write Equation in y = mx + c from a TableUse a table of values to write y = mx + c.adaptive
- 10Write Equation in y = mx + c from Word ProblemTranslate a real-world description into y = mx + c.adaptive
- 11Linear Equations: Solve for yRearrange a linear equation into y = mx + c form.adaptive
- 12Write Linear Equations to Solve Word ProblemsTranslate a word problem into a linear equation in y = mx + c form and solve.adaptive
- 13Complete a Table and Graph a Linear EquationComplete a table of values for a linear equation.adaptive
- 14Write Equations in Standard FormConvert y = mx + c into standard form Ax + By = C.adaptive
- 15Standard Form: Find x- and y-InterceptsFind x- and y-intercepts of Ax + By = C.adaptive
- 16Standard Form: Graph an EquationIdentify the described graph of an equation in standard form.adaptive
- 17Equations of Horizontal and Vertical LinesWrite the equation of horizontal (y = k) and vertical (x = h) lines.adaptive
- 18Graph a Horizontal/Vertical LineIdentify the described graph of a horizontal or vertical line.adaptive
- 19Point-Gradient Form: Graph an EquationIdentify the described graph of y − y₁ = m(x − x₁).adaptive
- 20Point-Gradient Form: Write an EquationWrite y − y₁ = m(x − x₁) given a point and a gradient.adaptive
- 21Point-Gradient Form: Write an Equation from a GraphWrite y − y₁ = m(x − x₁) from a described graph.adaptive
- 22Gradients of Parallel and Perpendicular LinesFind the gradient of a line parallel or perpendicular to a given line (NEW v9).adaptive
- 23Write Equation for Parallel/Perpendicular LineWrite the equation of a line parallel or perpendicular to a given line through a point.adaptive
- 24Transformations of Linear FunctionsIdentify how a parameter change shifts or steepens a linear graph (NEW v9).adaptive