Graphing Linear Relations

Grade 8: computing and plotting points from a linear rule.

14 questions, free, marked as you go with a worked explanation on every one.

What this covers

• linear relations

The questions

1. For the relation y = x + 2, find the point when x = 1, then plot it.
2. For the relation y = 2x, find the point when x = 3, then plot it.
3. For the relation y = x - 3, find the point when x = 5, then plot it.
4. For the relation y = -x + 1, find the point when x = 2, then plot it.
5. For the relation y = 3x - 1, find the point when x = 1, then plot it.
6. For the relation y = x + 5, find the point when x = -2, then plot it.
7. For the relation y = -2x, find the point when x = -3, then plot it.
8. For the relation y = x - 1, find the point when x = -4, then plot it.
9. For the relation y = 4 - x, find the point when x = 3, then plot it.
10. A candle is 24 cm tall when it is lit, and it burns down at a steady 1.5 cm every hour. After how many hours of burning is the candle 6 cm tall?
11. Graph the line y = x + 2.
12. Graph the line y = -2x + 1.
13. What is the slope of the line shown?
14. What is the y-intercept of the line shown?

Answer these free