Page 156 - Mathematics

5 7
Table of values for y = x +
4 4

x − − 2 − 1 0 1
3 1 7
y − 2 − 3
4 2 4

Therefore, the graph of the given equation is shown in the following graph.

y
Tanzania Institute of Education
4

3
(1, 3)
2

1
5x - 4y + 7 = 0

-3 -2 -1 0 1 2 x
-1

-2
(-3, -2)
-3

Graphing linear equations using x and y-intercepts
Recall that x and y-intercepts are points on the x and y-axes, respectively. Thus,
if x and y-intercepts are known, it is easy to draw the graph of the equation of a
straight line by joining the two points.

Example 6.27
Mathematics Form One Draw the graph of the line y = 2x + 3.

Solution
2x +
3. The x and y-intercepts are determined as follows:
Given the line y =
0. It implies that,
For x-intercept, set y =

3
02x=
+
150

25/10/2024 09:52:00
Mathematics form 1.indd 150 25/10/2024 09:52:00
Mathematics form 1.indd 150