Graph the proportional relationship y=2x by plotting points.

Question

A. A coordinate plane ranges from negative 9 to 9 in unit increments on the x-axis and from 11 to negative 11 in unit increments on the y-axis. A line with arrows at both the ends joins three plotted points and extends beyond. The coordinates of the plotted points are: left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 3 right parenthesis, and left parenthesis 2 comma 6 right parenthesis.

B. A coordinate plane ranges from negative 9 to 9 in unit increments on the x-axis and from 11 to negative 11 in unit increments on the y-axis. A line with arrows at both the ends joins three plotted points and extends beyond. The coordinates of the plotted points are: left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 2 right parenthesis, and left parenthesis 2 comma 4 right parenthesis.

C. A coordinate plane ranges from negative 9 to 9 in unit increments on the x-axis and from 11 to negative 11 in unit increments on the y-axis. A line with arrows at both the ends joins two plotted points and extends beyond. The coordinates of the plotted points are: left parenthesis 0 comma 0 right parenthesis and left parenthesis 2 comma 1 right parenthesis.

D. A coordinate plane ranges from negative 9 to 9 in unit increments on the x-axis and from 11 to negative 11 in unit increments on the y-axis. A line with arrows at both the ends joins two plotted points and extends beyond. The coordinates of the plotted points are: left parenthesis 0 comma 0 right parenthesis and left parenthesis 1 comma 4 right parenthesis

GPT 3.5 · Answer

A. The correct graph is A, with plotted points (0,0), (1,3), and (2,6) forming a line that represents the proportional relationship y=2x.

Graph A:
```
11 |
10 |
9 | *
8 |
7 |
6 | *
5 |
4 | *
3 |
2 | *
1 |
0 | *
-1 |
-2 | *
-3 | (-9,-18) (-8,-16) (-7,-14) (-6,-12) (-5,-10) (-4,-8) (-3,-6) (-2,-4) (-1,-2) 0 (1,2) (2,4) (3,6) (4,8) (5,10) (6,12) (7,14)
-4 |
-5 |
-6 |
-7 |
-8 |
-9 |
-----------------------------------------------------------------------------------------
```

B. The graph provided is not correct as the plotted points (0,0), (1,2), and (2,4) do not lie on a straight line. The correct proportional relationship y=2x cannot be represented by these points.

C. The graph provided is not correct as the plotted points (0,0) and (2,1) do not form a straight line. The correct proportional relationship y=2x cannot be represented by these points.

D. The graph provided is not correct as the plotted points (0,0) and (1,4) do not form a straight line. The correct proportional relationship y=2x cannot be represented by these points.