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

Step graphs

Interactive practice questions

The graph shows the amount (in $dollars$ ) an internet cafe charges its customers.

Loading Graph...

a

How much does $Parvaneh$ have to pay if she uses their internet service for $2$2 hours and $40$40 minutes?

b

How much does $Parvaneh$ have to pay if she uses their internet service for $4$4 hours?

c

What is the maximum number of hours that $Parvaneh$ can use for $\$15$$15?

Easy

1min

The graph shows the starting times of a $shot put$ event for participants of different age groups.

Easy

< 1min

The graph shows the amount (in $dollars$ ) a lawyer charges for consultations.

Easy

1min

The graph shows the cost (in $dollars$ ) of a mobile phone call as a function of the length of the call.

Easy

4min

Outcomes

11.SF.RF.2

Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co-domain and range of a function. Real valued function of the real variable, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their graphs. Sum, difference, product and quotients of functions.

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