Ages 12–14🧮 Mathematics25 verified questions on this shelf

Plotting Linear Graphs

Plot linear graphs by generating a table of values, reduce a two-variable linear equation to the form y = mx + c, and calculate gradients from two points on a line

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Question 1 of 3

A wheelchair ramp is drawn on a grid. The ramp passes through the points (2, 1) and (6, 5). What is the gradient of the line that connects these two points?

Question 2 of 3

Which of the following points lies in the second quadrant of the Cartesian plane?

Question 3 of 3

What is the gradient of the line that passes through the points (2, 5) and (6, 13)?

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What a child can do after this Skill

Generate a table of (x, y) values for a linear equation and plot the points accurately
Rearrange an equation such as 2x + 3y = 12 into the form y = mx + c
Calculate the gradient between two coordinate points using rise over run

Curriculum standards this Skill teaches

ICSE.Class8.Math.LinearEquationsOneVariable — Linear equations in one variable: solving and applications
KS3.Maths.Alg.9 — Graphs of Linear and Quadratic Functions
CCSS.Math.Content.8.F.1 — Understand that a function assigns each input to exactly one output
KS3.Maths.Alg.10 — Interpret Mathematical Relationships
CCSS.Math.Content.8.F.4 — Construct a function to model a linear relationship between two quantities
KS3.Maths.Alg.11 — Standard Form of Linear Equations
ICSE.Class8.Math.AlgebraicExpressionsAndIdentities — Algebraic expressions and standard identities
ICSE.Class8.Math.MensurationAreaVolume — Mensuration: area of polygons and volume of solids
NCERT.Class8.Math.LinearEquationsOneVariable — Linear equations in one variable
NCERT.math.8.IntroductionToGraphs — Introduction to Graphs

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Skill names and descriptions include the Marble Skill Taxonomy © Generative Spark, Inc. (withmarble.com), licensed under ODbL 1.0 (database) and CC BY-SA 4.0 (content). Practice questions are GlowGrades's own, each checked by independent verifiers that must agree before a child ever sees it.