Worksheet for graphing linear equations with function tables and coordinate planes.

Here are the completed function tables for each equation. To fill these out, you simply plug the $x$ value into the equation to find $y$.

(1) Equation: $y = x - 3$
* When $x = -2$: $y = -2 - 3 = -5$
* When $x = 1$: $y = 1 - 3 = -2$
* When $x = 4$: $y = 4 - 3 = 1$
* When $x = 7$: $y = 7 - 3 = 4$

(2) Equation: $y = -x$
*(Note: Since there are no numbers in the table, here are 4 common points you can use to graph this line)*
* If $x = -2$, then $y = 2$ $\rightarrow$ Point: $(-2, 2)$
* If $x = 0$, then $y = 0$ $\rightarrow$ Point: $(0, 0)$
* If $x = 2$, then $y = -2$ $\rightarrow$ Point: $(2, -2)$
* If $x = 4$, then $y = -4$ $\rightarrow$ Point: $(4, -4)$

(4) Equation: $y = x + 4$
* When $x = -7$: $y = -7 + 4 = -3$
* When $x = -4$: $y = -4 + 4 = 0$
* When $x = -3$: $y = -3 + 4 = 1$
* When $x = -2$: $y = -2 + 4 = 2$

(5) Equation: $y = -3x$
*(Note: The table is empty, so here are 4 points to help you graph it)*
* If $x = -1$, then $y = -3(-1) = 3$ $\rightarrow$ Point: $(-1, 3)$
* If $x = 0$, then $y = -3(0) = 0$ $\rightarrow$ Point: $(0, 0)$
* If $x = 1$, then $y = -3(1) = -3$ $\rightarrow$ Point: $(1, -3)$
* If $x = 2$, then $y = -3(2) = -6$ $\rightarrow$ Point: $(2, -6)$

Final Answer:
Table (1):
x | y
-2 | -5
1 | -2
4 | 1
7 | 4

Table (4):
x | y
-7 | -3
-4 | 0
-3 | 1
-2 | 2