QUESTION IMAGE
Question
v = -3x + 5
x | y
-1 |
1 |
3 |
4 |
(and a coordinate grid is present)
Step1: Substitute $x=-1$ into equation
$y = -3(-1) + 5 = 3 + 5 = 8$
Step2: Substitute $x=1$ into equation
$y = -3(1) + 5 = -3 + 5 = 2$
Step3: Substitute $x=3$ into equation
$y = -3(3) + 5 = -9 + 5 = -4$
Step4: Substitute $x=4$ into equation
$y = -3(4) + 5 = -12 + 5 = -7$
Step5: List valid coordinate points
Points: $(-1, 8)$, $(1, 2)$, $(3, -4)$, $(4, -7)$; plot these on the grid and draw a straight line through them.
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Completed table:
| $x$ | $y$ |
|---|---|
| 1 | 2 |
| 3 | -4 |
| 4 | -7 |
The graph is a straight line passing through the points $(-1, 8)$, $(1, 2)$, $(3, -4)$, and $(4, -7)$ on the coordinate grid.