Question

1. graph y = 3x - 2 using tables.

Explanation:

Step1: Choose values for x

Let's choose x = - 1, 0, 1.

Step2: Calculate corresponding y - values

When x=-1, $y = 3\times(-1)-2=-3 - 2=-5$.
When x = 0, $y=3\times0 - 2=-2$.
When x = 1, $y=3\times1-2=3 - 2 = 1$.

Step3: Create a table

x	y
0	-2
1	1

Step4: Plot the points

Plot the points (-1,-5), (0,-2), (1,1) on the coordinate - plane and draw a straight line through them.

Answer:

The graph of $y = 3x-2$ is a straight - line passing through the points (-1,-5), (0,-2), (1,1) which can be obtained by creating a table of values as shown above.