Page 154 - Mathematics

Example 6.24

Given the equation x += complete the following table of values and draw
y
1,
the corresponding graph.
y
Table of values for x += 1
x 2 − 0 1 2

y 2 0

Solution
Given the equation x + y = 1. Re-writing it in the form y = mx + c gives
Tanzania Institute of Education
y = −+ 1.
x
Substitute the given values from the given table of values.
2,
When x = − then y = −−
( 2) 1 3.+ =
When y = 2, x = − 1.
When x = 0, y = 1.
When x = 2, y = − 1.

y
The following is the table of values for x += 1.
x 2 − − 1 0 1 2
y 3 2 1 0 − 1

Locate the set of ordered pairs from the table of values on the xy-plane. Join
the points to form a straight line as shown in the following figure.

y

(-2, 3)
3

(-1, 2) 2
x + y = 1 (0, 1)
1 (1, 0)
Mathematics Form One -3 -2 -1 -1 0 1 2 (2, -1) x

3

-2

148

25/10/2024 09:51:59
Mathematics form 1.indd 148
Mathematics form 1.indd 148 25/10/2024 09:51:59