Answer:
Table of values
[tex]x \to y[/tex]
[tex]0 \to -5[/tex]
[tex]1 \to -2[/tex]
[tex]2 \to 1[/tex]
[tex]3 \to 4[/tex]
[tex]4 \to 7[/tex]
[tex]5 \to 10[/tex]
See attachment for graph
Step-by-step explanation:
Given
[tex]y = 3x - 5[/tex]
Solving (a): Make a table
Considering the values of x from 0 to 5, we have:
When [tex]x = 0[/tex]
[tex]y = 3x - 5 \to 3 * 0 - 5 = -5[/tex]
When [tex]x = 1[/tex]
[tex]y = 3x - 5 \to 3 * 1 - 5 = -2[/tex]
When [tex]x = 2[/tex]
[tex]y = 3x - 5 \to 3 * 2 - 5 = 1[/tex]
When [tex]x = 3[/tex]
[tex]y = 3x - 5 \to 3 * 9 - 5 = 4[/tex]
When [tex]x = 4[/tex]
[tex]y = 3x - 5 \to 3 * 4 - 5 = 7[/tex]
When [tex]x = 5[/tex]
[tex]y = 3x - 5 \to 3 * 5 - 5 = 10[/tex]
So, we have:
[tex]x \to y[/tex]
[tex]0 \to -5[/tex]
[tex]1 \to -2[/tex]
[tex]2 \to 1[/tex]
[tex]3 \to 4[/tex]
[tex]4 \to 7[/tex]
[tex]5 \to 10[/tex]
Solving (b): The graph
See attachment
