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Year 9

Reading from graphs

I can read and interpret points from a graph to solve problems.

icon-background-square
New
New
Year 9

Reading from graphs

I can read and interpret points from a graph to solve problems.

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Lesson details

Key learning points

  1. If you have one value, you can use a linear graph to find its pair.
  2. The pair of values will satisfy the linear equation.
  3. If the x and y variables have context, then their values can be interpreted within that context.
  4. With quadratic graphs, there may be more than one value to find.

Keywords

  • Linear - The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.

  • Quadratic - A quadratic is a an equation, graph, or sequence whereby the highest exponent of the variable is 2.

  • Parabola - A parabola is a curve where any point on the curve is an equal distance from a fixed point (the focus) and a fixed straight line (the directrix).

Common misconception

Since linear equations (typically) have one solution, all equations have one solution.

Ask pupils to compare the graphical solution to a linear equation with the graphical solution to a quadratic equation. This will enable them to see that it is possible for a quadratic equation to have more than one solution.


To help you plan your year 9 maths lesson on: Reading from graphs, download all teaching resources for free and adapt to suit your pupils' needs...

After using the graph of y=20x-0.4 to calculate 20 x 0.06 - 0.4 challenge pupils to read as many accurate calculations as they can from that same graph.
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Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

6 Questions

Q1.
The relationship between two is linear if, when plotted on a pair of axes, a straight line is formed.
Correct Answer: variables
Q2.
What is the minimum number of coordinates needed to plot the graph of y=5x+3 ?
1
Correct answer: 2
3
4
5
Q3.
Andeep plots the graph of the linear equation 4x+6y=24. When y=0 then y= .
Correct Answer: 6
Q4.
Laura is plotting the graph of the line 3y+5x=15. She only wants to plot two points. Which of these points would be the best points for Laura to use?
Correct answer: When x=0
When x=1
When x=2
Correct answer: When x=3
When x=4
Q5.
Match each pair of coordinates with the equation of the line that coordinates are on.
Correct Answer:(3,0),y=2x6
tick

y=2x6

Correct Answer:(3,1),3y=x
tick

3y=x

Correct Answer:(3,2),x+y=5
tick

x+y=5

Correct Answer:(3,3),y=x
tick

y=x

Correct Answer:(3,4),2y3x=1
tick

2y3x=1

Q6.
Jun wants to draw the graph of y=0.2x+2.2 for positive values of x. The coordinates of the first point on the line that has positive integer coordinates are .
Correct Answer: (4, 3), (4,3)

6 Questions

Q1.
The graph of a equation is called a parabola.
Correct Answer: quadratic
Q2.
Use the graph of y=3x4 to solve the equation 3x4=8. The solution is x= .
An image in a quiz
Correct Answer: 4, four
Q3.
Use the graph of y=7.4x+12.95 to estimate the value of 7.4×3+12.95.
An image in a quiz
25
30
Correct answer: 35
40
45
Q4.
How many solutions are there to the equation x2+2=10. Use the graph of y=x2+2 to help you.
An image in a quiz
0
1
Correct answer: 2
3
Infinite
Q5.
Use the graph of y=12x2+1 to help you solve the equation 12x2+1=3.
An image in a quiz
Correct answer: x=2
x=1
x=1
Correct answer: x=2
x=3
Q6.
This parabola models the flight of a cricket ball being thrown. The cricket ball is above a height of 5 metres for a distance of metres altogether.
An image in a quiz
Correct Answer: 16, sixteen
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