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studyFunctions & Graphs
FoundationMaths revision

Linear Graphs

Read and construct straight-line graphs using gradient, intercept and coordinate relationships.

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Focus points
✓Find gradients.
✓Interpret y=mx+c.
✓Connect tables, equations and graphs.
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The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

target Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions
Question 1FluencyCore
Original practice · Free Online Revision
Skill · gradient
Find the gradient of the line through (2,5) and (8,17).
Question 2FluencyCore
Original practice · Free Online Revision
Skill · line form
State the gradient and y-intercept of y=−3x+7.
Question 3FluencyCore
Original practice · Free Online Revision
Skill · equation of line
Find the equation of the line with gradient 4 and y-intercept −2.
Question 4FluencyCore
Original practice · Free Online Revision
Skill · equation from points
Find the equation of the line through (0,5) and (3,−1).
Question 5FluencyCore
Original practice · Free Online Revision
Skill · point on line
Does the point (4,11) lie on y=2x+3?
Question 6ApplicationCore
Original practice · Free Online Revision
Skill · linear model
A taxi fare is y=2.4x+5, where x is kilometres. Interpret 2.4 and 5.
Question 7ReasoningCore
Original practice · Free Online Revision
Skill · parallel lines
Two lines have gradients 3 and 3 but different y-intercepts. What can you conclude?
Question 8ChallengeStretch
Original practice · Free Online Revision
Skill · intersection
Find the intersection of y=3x−4 and y=−2x+11.