Question
Graphing Linear Equations Unit Test
6 of 186 of 18 Items
Question
Graph the proportional relationship y=2x
by plotting points.(1 point)
Responses
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.
Image with alt text: 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.
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.
Image with alt text: 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.
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.
Image with alt text: 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.
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.
6 of 186 of 18 Items
Question
Graph the proportional relationship y=2x
by plotting points.(1 point)
Responses
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.
Image with alt text: 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.
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.
Image with alt text: 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.
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.
Image with alt text: 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.
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.
Answers
GPT-4o mini
To graph the proportional relationship represented by the equation \( y = 2x \), we first identify points that satisfy this equation. The equation indicates that for every increment of 1 in \( x \), \( y \) increases by 2.
Let's calculate a few points:
- For \( x = 0 \):
\( y = 2(0) = 0 \) → The point is \( (0,0) \)
- For \( x = 1 \):
\( y = 2(1) = 2 \) → The point is \( (1,2) \)
- For \( x = 2 \):
\( y = 2(2) = 4 \) → The point is \( (2,4) \)
- For \( x = 3 \):
\( y = 2(3) = 6 \) → The point is \( (3,6) \)
Now we can check the response options:
1. The first option plots points \( (0,0) \), \( (1,3) \), \( (2,6) \).
2. The second option plots points \( (0,0) \), \( (1,4) \).
3. The third option plots points \( (0,0) \), \( (2,1) \).
4. The fourth option plots points \( (0,0) \), \( (1,2) \), \( (2,4) \).
The only option that includes the correct points that satisfy \( y = 2x \) is the fourth option, which has the points \( (0,0) \), \( (1,2) \), and \( (2,4) \).
So, the correct answer is:
**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: \( (0,0) \), \( (1,2) \), and \( (2,4) \).**
Let's calculate a few points:
- For \( x = 0 \):
\( y = 2(0) = 0 \) → The point is \( (0,0) \)
- For \( x = 1 \):
\( y = 2(1) = 2 \) → The point is \( (1,2) \)
- For \( x = 2 \):
\( y = 2(2) = 4 \) → The point is \( (2,4) \)
- For \( x = 3 \):
\( y = 2(3) = 6 \) → The point is \( (3,6) \)
Now we can check the response options:
1. The first option plots points \( (0,0) \), \( (1,3) \), \( (2,6) \).
2. The second option plots points \( (0,0) \), \( (1,4) \).
3. The third option plots points \( (0,0) \), \( (2,1) \).
4. The fourth option plots points \( (0,0) \), \( (1,2) \), \( (2,4) \).
The only option that includes the correct points that satisfy \( y = 2x \) is the fourth option, which has the points \( (0,0) \), \( (1,2) \), and \( (2,4) \).
So, the correct answer is:
**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: \( (0,0) \), \( (1,2) \), and \( (2,4) \).**