QUESTION IMAGE
Question
2
$y = 1 - \frac{x}{3}$
| $x$ | $y$ |
|---|---|
| -3 | $1 - \frac{-3}{3} = 1 + 1 = 2$ |
| 0 | $1 - 0 = 1$ |
| 3 | $1 - \frac{3}{3} = 1 - 1 = 0$ |
| 6 | $1 - \frac{6}{3} = 1 - 2 = -1$ |
(there is also a coordinate grid for graphing the function.)
Step1: Calculate y for x=-6
Substitute $x=-6$ into $y=1-\frac{x}{3}$:
$y=1-\frac{-6}{3}=1+2=3$
Step2: Calculate y for x=-3
Substitute $x=-3$ into $y=1-\frac{x}{3}$:
$y=1-\frac{-3}{3}=1+1=2$
Step3: Calculate y for x=0
Substitute $x=0$ into $y=1-\frac{x}{3}$:
$y=1-\frac{0}{3}=1-0=1$
Step4: Calculate y for x=3
Substitute $x=3$ into $y=1-\frac{x}{3}$:
$y=1-\frac{3}{3}=1-1=0$
Step5: Calculate y for x=6
Substitute $x=6$ into $y=1-\frac{x}{3}$:
$y=1-\frac{6}{3}=1-2=-1$
Step6: List valid (x,y) pairs
The corrected coordinate pairs are:
$(-6, 3), (-3, 2), (0, 1), (3, 0), (6, -1)$
These points are plotted on the grid by marking each (x,y) location and drawing a straight line through them.
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Corrected table values:
| $x$ | $y$ |
|---|---|
| $-3$ | $2$ |
| $0$ | $1$ |
| $3$ | $0$ |
| $6$ | $-1$ |
The graph is a straight line passing through the points listed above.