Question 1089221: Given the equation, find the ordered pairs using the partially filled in table.
y=3x+2
x | y
0 | ?
2 | ?
? | 0
? | 5
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website!
Row 1:
If x = 0, then
 Replace x with 0
So the value x = 0 pairs up with y = 2.
The fact that x is 0 here indicates we have an y intercept. This is where the graph crosses the y axis.
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Row 2:
If x = 2, then
 Replace x with 2
So the value x = 2 pairs up with y = 8.
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Row 3:
If y = 0, then
 Replace y with 0
 Subtract 2 from both sides
 Divide both sides by 3
So the value x = -2/3 pairs up with y = 0.
The fact that y is 0 here indicates we have an x intercept. This is where the graph crosses the x axis.
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Row 4:
If y = 5, then
 Replace y with 5
 Subtract 2 from both sides
 Divide both sides by 3
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Here's a look at the full completed table (updated entries in red)
| x | y |
|---|
| 0 | 2 | | 2 | 8 | | -2/3 (see note below) | 0 | | 1 | 5 |
note: The value x = -2/3 is approximately equal to x = -0.667 rounded to 3 decimal places
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If we plot all of the points and draw a single straight line through them, then we end up with what is shown below.
The four points are
A = (0, 2)
B = (2, 8)
C = (-2/3, 0)
D = (1, 5)
where A,B,C,D corresponds to the (x,y) pairings found in row1,row2,row3,row4 in that order.
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