How can you tell they’ve got it: Plotting Linear Graphs?

If they’ve got it, you’ll see things like: 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. Or just try it together: Can your child draw the graph of a straight line by making a table of values and plotting the points — and work out the gradient from two points on the line?

Mathematics Algebra Ages 12–14

Plotting Linear Graphs

Your child can draw a straight-line graph from a table of values. They can work out how steep the line is from two points.

In curriculum terms

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

Ages are typical, not deadlines — follow your child’s pace. How to help at home →

How to tell they’ve got it

Tick these off as you see them — no test required.

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

🖨 Print this page to keep the checklist — it prints beautifully.

Try this together

Can your child draw the graph of a straight line by making a table of values and plotting the points — and work out the gradient from two points on the line?

Where this sits on the map

Stuck here? Check the skills it builds on first. Confident? Here’s what it unlocks.

Builds on

Linear Function Graphsages 12–14Plotting linear graphs requires understanding what y = mx + c represents

Simple formulaeages 12–14Rearranging to y = mx + c form uses formula rearrangement skills

Plotting Linear Graphsthis skill · ages 12–14

Unlocks

Estimating answersages 13–14Reading approximate values from graphs requires graph-plotting experience

Quadratic Graphsages 13–14Understanding quadratic graphs requires prior experience plotting linear graphs

Simultaneous Equationsages 13–14Simultaneous equations graphically requires plotting two linear graphs on the same axes

solid = must come firstdashed = helps

Curriculum alignment

Where this fits in the official school curriculum — our best automated guess, not yet checked by a person.

This skill sits beyond Year 6 in the Australian Curriculum, so no F–6 code is matched. It also sits beyond the NSW K–6 syllabuses. It also sits beyond Level 6 in the Victorian Curriculum.

Nearby on the map

Factorising Expressionsages 12–13 Linear Function Graphsages 12–14 Nth-Term Rulesages 12–14 Simple formulaeages 12–14

All Algebra skills →