Linear Equations

Graphing Straight Lines from Intercepts

Compare linear relationships

Gradient of Horizontal and Vertical Lines

Gradient of a Line

Gradient from Two points

The Gradient Formula I

The Gradient Formula II

Interpret Rate of Change

Identifying Slope from Equation

Gradient-Intercept Form

Distances on the Plane (using Pythag)

The Distance Formula

The Midpoint of an Interval

Gradient, distance and midpoint partner activity (Investigation)

Equation of a Line: General Form

Equation of a Line: Standard Form

The point-gradient formula

The point-slope formula

The Two Point Formula

Equations of Lines (Mixed Set)

Exploring Slopes and Equations of Lines (Investigation)

Linear Relationships - graphs

Sketching Linear Graphs

Linear functions, summary of features

Modelling Linear Relationships - graphs

Calculating Gradients

Finding the Equation of Line

Parallel Lines I

Parallel Lines II

Perpendicular Lines

Intersections of Lines

Finding Linear Equations in Context

Geometrical Problems with Coordinates

Regions in the Number Plane

Evaluating and Listing Domain and Range of Linear Functions

Developing Linear Formulas

Identifying Solutions to Inequalities in Two Variables

Solve Linear Inequalities from a Graph

Perpendicular distance

Angle between two lines

Class XI

Finding Linear Equations in Context

Interactive practice questions

The perimeter of the trapezium below is $27$27 centimetres.

a

Use the perimeter to form an equation in terms of $x$x and $y$y.

Give your answer in standard form, $Ax+By+C=0$Ax+By+C=0.

b

If $x$x is $5$5 cm, find the value of $y$y.

Easy

2min

A $carpenter$ charges a callout fee of $\$150$$150 plus $\$45$$45 per hour.

Easy

2min

The table shows the linear relationship between the number of $plastic chair$ s manufactured and the total manufacturing cost.

Easy

5min

The table shows the water level of a well that is being emptied at a constant rate with a pump.

Easy

6min

Outcomes

11.CG.SL.1

Brief recall of 2D from earlier classes. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axes, point-slope form, slope-intercept form, two-point form, intercepts form and normal form. General equation of a line. Distance of a point from a line.

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