Question

fill out the table for the following linear equation: $y = 2x - 2$
graph the equation in the coordinate plane:

Explanation:

Step1: Choose x=0

Substitute \( x = 0 \) into \( y = 2x - 2 \), we get \( y = 2(0) - 2 = -2 \).

Step2: Choose x=1

Substitute \( x = 1 \) into \( y = 2x - 2 \), we get \( y = 2(1) - 2 = 0 \).

Step3: Choose x=2

Substitute \( x = 2 \) into \( y = 2x - 2 \), we get \( y = 2(2) - 2 = 2 \).

Table:

x	y
1	0
2	2

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

Answer:

The filled table (with example x - values 0, 1, 2) is as above, and the graph is drawn using the plotted points.