Ages 12–14🧮 Mathematics22 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

Try three questions

Tap an answer to check it. Every question and explanation was checked by independent verifiers that must agree.

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

Lena is recording how many points she scores in a video game (y) after playing a certain number of rounds (x). The points follow the rule y = 3x + 4. Which table lists four correct (x, y) pairs that she could plot on a graph?

Keep going on this shelf

A free account keeps practising Plotting Linear Graphs with 22 verified questions, tracks the Skill as it blooms, and connects a real teacher when you want one. Every student account needs a parent's email first.

Practise Plotting Linear Graphs free →Parents: set up a family account

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

More in Algebra

All 25 Skills in Algebra →

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.