KS1 (Age 5-7)KS2 (Age 7-11)11 Plus (Age 7-11)KS3 (Age 11-14)GCSE (Age 14-17)PSHE A.I.ESL Spanish Specialist Games

Need help with Level 7-8 Algebra - Graphs 01? Ask our AI Tutor!

AI Tutor - Lucy

Connecting with Tutor...

Please wait while we establish connection

Hi! I'm Lucy, your AI tutor. How can I help you with Level 7-8 Algebra - Graphs 01 today?

now

When would you use a line graph?

Level 7-8 Algebra - Graphs 01

Graphs turn numbers into pictures. Learn coordinates, gradients and intercepts so you can read and draw straight-line graphs quickly in KS3 Maths.

Explore the Topic →

(quiz starts below)

Fascinating Fact:

In real life, a linear graph can model taxi fares, where cost = 3 + 2x means a £3 start plus £2 per kilometre.

In KS3 Maths, you use coordinates and equations to draw and interpret straight-line graphs. You will find gradients and intercepts, link tables to lines, and solve problems from real contexts.

Key Terms

Gradient: The steepness of a line; change in y divided by change in x.
y-intercept: The point where a line crosses the y-axis.
Linear equation: An equation like y = mx + c that draws a straight line on a graph.

Frequently Asked Questions (Click to see answers)

How do you find the gradient of a line from two points?

Use gradient = (y₂ − y₁)/(x₂ − x₁). For points (1, 3) and (5, 11), the gradient is (11 − 3)/(5 − 1) = 8/4 = 2.

What is the equation of a straight line in KS3?

The general form is y = mx + c, where m is the gradient and c is the y-intercept. Read m from the slope and c where the line meets the y-axis.

How do I plot a linear graph step by step?

Make a small table of values for x, calculate y from the equation, plot the points carefully, then use a ruler to join them in a straight line and label axes.

Try These Related Quizzes

1 .

A part of a line is called what?

Line part

Line piece

Line portion

Line segment

Segments are between two points on a graph

2 .

This is an example of coordinates on a graph: (7, -9). To what do the figures refer?

Both numbers within brackets are on the same axis

Figures in brackets are always for the y axis

The x axis value, then the y axis value

The y axis value, then the x axis value

It is just SO IMPORTANT to remember this: 'x comes before y in the alphabet and the x axis figure comes before the y axis figure'

3 .

Working out the points on a graph and putting them in the right place is known as what?

Plodding

Plonking

Plotting

Ploughing

You may have heard of ships' captains 'plotting their course'. This is marking down points on a map rather than a graph, but the principle is the same

4 .

Which of these could not be shown on a 'distance-time graph'?

The number of people on a journey

The speed during part of a journey

The time spent stationary during a journey

The total time taken for a journey

Distance-time graphs are sometimes called 'travel graphs'

5 .

What would you expect a 'conversion graph' to do?

Convert letters into numbers

Convert one unit to another

Convert you to become a lover of graphs

Convert your family to Buddhism

It might convert miles to kilometres, grams to ounces, etc.

6 .

What is the meaning of the word 'gradient'?

The length of a line

The starting-point of a line

The steepness of a slope

The width of a line

You will sometimes see references to the gradient of a line in a graph. If you were walking, then a 'steep gradient' would be difficult to walk up but a 'gentle gradient' would be easy to walk up

7 .

When a graph is said to be 'linear' what would you expect?

Lines that are curved

Lines that are straight

No lines, just points that have been plotted

Numerous lines starting at the same point

The dictionary definition of 'linear' is: arranged in or extending along a straight or nearly straight line

8 .

If a curve on a graph is said to be 'symmetrical about the y axis', what would you expect?

Most of the curve to be in quadrant 2

Most of the curve to be in quadrant 1

None of the curve to be below the x axis

The left hand side to be a mirror image of the right hand side

The word symmetry means that one half mirrors the other half

9 .

What is the word that means to cross over?

Interscope

Intersect

Interserve

Intersport

The place where a line crosses over an axis is the place where it intersects the axis

10 .

If a graph is described as 'quadratic' then what would you expect to see in the equation?

The squared sign: ²

The cubed sign: ³

The power of 4 sign: ⁴

Any exponent

An exponent is a small number placed to the upper-right of a number as in 3² or 4⁵

You can find more about this topic by visiting BBC Bitesize - Graphs

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)

**Unlimited Quizzes Await You! 🚀**

Hey there, quiz champ! 🌟 You've already tackled today's free questions.
Ready for more?

🔓 Unlock UNLIMITED Quizzes and challenge yourself every day. But that's
not all...

🔥 As a Subscriber you can join our thrilling "Daily Streak" against other
quizzers. Try to win a coveted spot on our Hall of Fame Page.

Don't miss out! Join us now and keep the fun rolling. 🎉

Subscribe & Play

**Unlimited Quizzes Await You! 🚀**

Hey there, quiz champ! 🌟 You've already tackled today's free questions. Ready for more?

🔓 Unlock UNLIMITED Quizzes and challenge yourself every day. But that's not all...

🔥 As a Subscriber you can join our thrilling "Daily Streak" against other quizzers. Try to win a coveted spot on our Hall of Fame Page.

Don't miss out! Join us now and keep the fun rolling. 🎉

Subscribe & Play

Contact Details

Education Quizzes

Heron's Way, Wragg Marsh
Spalding
Lincolnshire
PE12 6HH
England

Email

admin@educationquizzes.com

Customer Service

Home Page Parents Students Tutors Teachers
Colour Filters Safe AI
Your Account

Here To Help

About Us

Our Team Testimonials Parent Reviews Terms and Conditions Privacy Policy

Leave Feedback