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

Interpret Rate of Change

Interactive practice questions

What can we say about the rate of change of the given line?

Loading Graph...

A horizontal line on a cartesian plane.

The rate of change is undefined

A

The rate of change is zero.

B

The rate of change is always negative.

C

The rate of change is always positive.

D

Easy

< 1min

A dam used to supply water to the neighbouring town had the following data recorded for its volume over a number of months.

Easy

1min

Consider the proportional relationship shown in the graph, showing the number of fish caught over time.

Easy

2min

Flooding from a big storm has covered a local road in water. $James$ records the level of water on the road over time and constructs the following graph.

Medium

2min

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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