Gradient and y-Intercept

Year 8 Number and algebra WA8MNALP1 5 pages · 34 questions Core

Year 8 Gradient and y-Intercept Worksheet

Free Year 8 gradient and y-intercept worksheet (WA8MNALP1): rise over run, gradient from two points and writing y = mx + c. With marking key.

What's covered
  • Finding the gradient from a graph or two points
  • Reading m and c from y = mx + c
  • Writing the equation of a line from a graph or table

Updated Sep 2026 · No sign-up needed

About this worksheet

This free Year 8 gradient and y-intercept worksheet is written for the Western Australian curriculum and mapped to SCSA content description WA8MNALP1. It targets one skill so students can practise until it sticks: by the end, students can say “I can find the gradient from a graph or two points, read m and c from y = mx + c and write the equation of a line.”

What’s inside

  • Key idea box – a short explanation with worked examples to read before starting.
  • A · Fluency (16 questions) – quick practice to build accuracy.
  • B · Core (10 questions) – worded problems set in everyday Australian contexts.
  • C · Reasoning (4 questions) – explain, justify and spot the error.
  • D · Challenge (4 questions) – harder multi-step and problem-solving questions for students ready to stretch.
  • Separate marking key – every answer with working, plus mark allocations and marking criteria for reasoning questions.

Skills covered

  • Finding the gradient from a graph or two points
  • Reading m and c from y = mx + c
  • Writing the equation of a line from a graph or table

How to use this worksheet

Start with the Key idea box, then complete Section A (use a calculator only where a question says so). Most students should attempt Sections B and C; Section D suits students aiming for the top of the class or preparing for accelerated or extension maths. The worksheet is marked out of 58, and the score box on the last page helps students see which section needs more practice.

Common mistakes to watch for

  • Calculating run over rise
  • Missing a negative gradient
  • Using the x-intercept as c
  • Subtracting coordinates in a different order on top and bottom

Where this fits in the WA Year 8 sequence

Gradient and y-Intercept sits in the Linear and non-linear patterns and relationships sub-strand of Number and algebra. It is one of a set of short, single-skill EduLift worksheets that split each Year 8 content description into sub-skills. Use the previous and next links to work through the sequence in order.

Common errors we see in tutoring

  • Calculating run over rise
  • Missing a negative gradient
  • Using the x-intercept as c
  • Subtracting coordinates in a different order on top and bottom
Answer key (with worked solutions)

The answer key is a separate PDF with every question worked, not just the final answers.

Download the answer key (PDF)

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