Question

Complete the table for the equation y = x - 2. Then use the table to graph the equation.

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

$y = x-2$

comparing with the slope-intercept form of the line equation

$y = mx+b$

where m is the slope and b is the y-intercept

so

• The slope of the line y = x-2 will be: m = 1

• The y-intercept of the line = b = -2

Let us plug in some values

at x = 0, y = x-2 ⇒ y = 0-2  ⇒ y = -2

at x = 1, y = x-2 ⇒ y = 1-2  ⇒ y = -1

at x = 2, y = x-2 ⇒ y = 2-2  ⇒ y = 0

at x = 3, y = x-2 ⇒ y = 3-2  ⇒ y = 1

at x = 4, y = 4-2 ⇒ y = 4-2  ⇒ y = 2

Thus, the table of the equation y = x-2 becomes

x                  y

0                 -2

1                   -1

2                  0

3                   1

4                   2

Please check the attached graph.