Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
[tex]y = x-2[/tex]
comparing with the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
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.
