Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA5-9
New NZC (2026)
NZC26-P4-ALG-ER-K-Y10-10NZC26-P4-ALG-ER-K-Y9-06NZC26-P4-ALG-ER-P-Y10-05NZC26-P4-ALG-ER-P-Y9-09
Resources
- Math-Drills — determine slope and intercepts from graphed linear equationsQuestions PDF · Answers
- Quick Maths NZ — Year 9 x- and y-intercepts lesson, video, questions, and answersQuestions PDF · Answers
- Beta: Plotting co-ordinates, Ex 13.01, pgs 230 & 231
- Beta: Drawing line from equation, Ex 13.02, pg 233
- Beta: Gradients, Ex 13.03 to Ex 13.06, pgs 235 & 239
- Beta: Intercept of lines, Ex 13.07 to Ex 13.08, pgs 240 & 241
- Beta: Horizontal and vertical lines, Ex 13.09, pg 243
- Beta: Applying straight-line rules, Ex 13.10, pgs 244 to 246
Terminology
- Intercept
- x-intercept
- y-intercept
- Axis crossing
- Linear equation
- Gradient
- y = mx + c
- Constant term
Task goals
- Read and write the x-intercept as a point $(x,0)$ and the y-intercept as a point $(0,y)$ from a straight-line graph.
- Find the y-intercept of a linear equation by setting $x=0$ and solving for $y$.
- Find the x-intercept of a linear equation by setting $y=0$ and solving for $x$.
- Find both intercepts when a straight-line equation is written in $y=mx+c$ or $ax+by=c$ form.
- Compare and interpret intercepts in simple linear contexts, showing algebraic checks.
Where this fits
What leads into this objective, and where it goes next.
Before
Forming equations of given straight line graph (using y=mx+c)
Sketching a Straight Line from Its Equation
Linear Graphs from Algebraic Rules (Table of Values)
You are here
Finding x- and y-intercepts
Know
The y-intercept touches the y-axis and has coordinates (0,c).
Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-K-Y9-06
Do
Identifying the value of c for a straight line, from tables of values and from linear graphs
Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y9-09
Also under NA5-9:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.