Plotting straight-line graphs

The Maths Habit Handout to print

Think of two numbers where the second is 2 more than the first. How many pairs like that can you find?

1 and 3, 5 and 7, −1 and 1, 0.5 and 2.5, …

There is no end to them

y = 2x + 1. Find y when

  1. x = 3

    y = 7

  2. x = 0

    y = 1

  3. x = −2

    y = −3

Linear graph
A graph that is a straight line.
Table of values
Pairs of x and y values that fit the rule.

y = x + 2

x−2−1012
y

y = 3x

x−2−1012
y

y = 3 − x

x−2−1012
y

y = 2x − 2

x−2−1012
y−6−4−202

y = 2x + 2

x−2−1012
y−20246

y = 2x − 2

x−2−1012
y−6−4−202

y = 1 − 2x

x−2−1012
y531−1−3

y = 2x − 2

x−2−1012
y−6−4−202

y = x − 3

x−2−1012
y−5−4−3−2−1

y = 2x − 2

x−2−1012
y−6−4−202

y = 4 − x

x−2−1012
y65432

y = 2x − 2

x−2−1012
y−6−4−202

y = −3x

x−2−1012
y630−3−6

Plotting straight-line graphs worksheet, page 1

Plotting straight-line graphs worksheet, page 2

Answer sheet

  1. The point (3, k) is on the line y = 2x − 5. Find k.

    k = 1

  2. The points (1, 5) and (3, 9) are on the same straight line. What is its equation?

    y = 2x + 3

  3. Is the point (−2, 9) on the line y = 3 − 2x? Show how you know.

    No: 3 − 2 × (−2) = 7, not 9

  1. Complete the table of values for y = 2x − 3.

    −5, −3, −1, 1, 3
    xy−10123

  2. Draw the graph of y = 2x − 3.

    Straight line through (0, −3)
    xy−10123−5−4−3−2−10123

  3. Is the point (−3, 4) on the line y = 1 − x? Show how you know.

    Yes: 1 − (−3) = 4
Exit tickets to print