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Level 5-6 Algebra - Graphs 02
Get good at graphs by playing this quiz.

Level 5-6 Algebra - Graphs 02

Learn to plot linear relationships in KS3 Maths. Understand gradients, intercepts, and how real-world data forms straight lines on a graph.

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(quiz starts below)

Fascinating Fact:

A phone plan that charges £5 base plus £2 per gigabyte is a line with intercept 5. The point (4, 13) means 4 GB costs £13.

In KS3 Maths, you’ll explore straight-line graphs that show proportional and non-proportional relationships. Each line is defined by an equation in the form y = mx + c, where m is the gradient and c is the y-intercept.

Key Terms

  • Gradient: The rate of change, showing how steep a line is. It equals rise ÷ run.
  • Intercept: The point where a line crosses an axis, often the y-intercept at x = 0.
  • Linear equation: An equation whose graph is a straight line, like y = 2x + 5.

Frequently Asked Questions (Click to see answers)

How can I find the gradient from a graph?

Choose two points on the line, find the difference in y-values and divide by the difference in x-values. Gradient = change in y ÷ change in x.

What does the equation y = mx + c tell us?

It tells us that m is the gradient and c is the y-intercept. The line’s shape and position depend on these two values.

How can I tell if a line is steeper or flatter?

A larger gradient means a steeper line. For example, y = 3x + 1 is steeper than y = x + 1 because 3 > 1.

Try These Related Quizzes

1 .
The following coordinates are at either end of a line drawn on a graph: (-3, 3) and (6, 3). Where does this line appear?
Above the x axis
Below the x axis
Along the x axis
All to the left of the y axis
This is a horizontal line - note that in both sets of coordinates the second numbers are the same
2 .
The following coordinates are at either end of a line drawn on a graph: (-5, -3) and (-5, 8). Where does this line appear?
To the right of the y axis
To the left of the y axis
Along the y axis
All above the x axis
This is a vertical line - note that in both sets of coordinates the first numbers are the same
3 .
The following coordinates are at either end of a line drawn on a graph: (0, -1) and (0, 7). Where does this line appear?
To the right of the y axis
To the left of the y axis
Along the y axis
All above the x axis
Both sets of coordinates show the x axis figure of 0 and this means that the line must run up and down the y axis
4 .
A graph in the form of y = b is what?
A straight horizontal line
A straight vertical line
A left to right diagonal line
A right to left diagonal line
Listen up because this is important....... In the above equation (y = b) the b part of the equation really means anything/something. What you might be asked is something like 'draw the graph y = -2'
5 .
Describe the line y = -2
A horizontal line running two units above the x axis
A horizontal line running two units below the x axis
A vertical line running two units to the left of the y axis
A vertical line running two units to the right of the y axis
Every coordinate on the line would have the structure of (?, -2)
6 .
A graph in the form of x = a is what?
A straight horizontal line
A straight vertical line
A left to right diagonal line
A right to left diagonal line
In the above equation (x = a) the a part of the equation really means anything/something. What you might be asked is something like 'draw the graph x = 4'
7 .
Describe the line x = 4
A horizontal line running four units above the x axis
A horizontal line running four units below the x axis
A vertical line running four units to the left of the y axis
A vertical line running four units to the right of the y axis
Every coordinate on the line would have the structure of (4, ?)
8 .
The graph y = x has a line that goes from where to where?
Quadrant 3 to quadrant 1
Quadrant 3 to quadrant 2
Quadrant 3 to quadrant 4
All the line must be in quadrant 3
Think of it this way: if y = 4 then x = 4, if y = -4 then x = -4. In other words, whatever the first number in the coordinates, the second number will always be the same
9 .
The graph y = -x has a line that goes from where to where?
Quadrant 2 to quadrant 1
Quadrant 2 to quadrant 3
Quadrant 2 to quadrant 4
All the line must be in quadrant 2
Think of it this way: if y = 4 then x = -4, if y = -4 then x = 4. In other words, whatever the first number in the coordinates, the second number will always be the same BUT with the opposite sign
10 .
Which day of the week comes immediately after Monday?
Tuesday
Wednesday
Thursday
Friday
After all that heavy stuff we thought you deserved an easy question!
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)
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