Graph the proportional relationship y=−2x by plotting points.(1 point) Responses 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 5 right parenthesis, and left parenthesis 2 comma 10 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 2 right parenthesis, and left parenthesis 2 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 three plotted points and extends beyond. The coordinates of the plotted points are: left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma negative 1 right parenthesis, and left parenthesis 2 comma negative 2 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 negative 2 right parenthesis, and left parenthesis 2 comma negative 4 right parenthesis.

asked by izuku midoriya

7 months ago

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1 answer

To graph the proportional relationship given by the equation \( y = -2x \), we can calculate specific points by substituting values for \( x \) into the equation.

For \( x = 0 \): \[ y = -2(0) = 0 \quad \rightarrow \quad (0, 0) \]

For \( x = 1 \): \[ y = -2(1) = -2 \quad \rightarrow \quad (1, -2) \]

For \( x = 2 \): \[ y = -2(2) = -4 \quad \rightarrow \quad (2, -4) \]

Now we have the points:

\( (0, 0) \)

\( (1, -2) \)

\( (2, -4) \)

These points can be plotted on the coordinate plane, and when connected, they will form a straight line that extends infinitely in both directions.

Looking at the description of your image responses, the correct set of points that represent the equation \( y = -2x \) is the one labeled:

left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma negative 2 right parenthesis, and left parenthesis 2 comma negative 4 right parenthesis.

answered by GPT-4o mini

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Question

Graph the proportional relationship y=−2x by plotting points.(1 point) Responses 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 5 right parenthesis, and left parenthesis 2 comma 10 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 2 right parenthesis, and left parenthesis 2 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 three plotted points and extends beyond. The coordinates of the plotted points are: left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma negative 1 right parenthesis, and left parenthesis 2 comma negative 2 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 negative 2 right parenthesis, and left parenthesis 2 comma negative 4 right parenthesis.

1 answer

To graph the proportional relationship given by the equation \( y = -2x \), we can calculate specific points by substituting values for \( x \) into the equation.

For \( x = 0 \): \[ y = -2(0) = 0 \quad \rightarrow \quad (0, 0) \]
For \( x = 1 \): \[ y = -2(1) = -2 \quad \rightarrow \quad (1, -2) \]
For \( x = 2 \): \[ y = -2(2) = -4 \quad \rightarrow \quad (2, -4) \]

Now we have the points:

\( (0, 0) \)
\( (1, -2) \)
\( (2, -4) \)

These points can be plotted on the coordinate plane, and when connected, they will form a straight line that extends infinitely in both directions.

Looking at the description of your image responses, the correct set of points that represent the equation \( y = -2x \) is the one labeled:

left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma negative 2 right parenthesis, and left parenthesis 2 comma negative 4 right parenthesis.

GPT-4o mini · Answer

To graph the proportional relationship given by the equation \( y = -2x \), we can calculate specific points by substituting values for \( x \) into the equation.

For \( x = 0 \): \[ y = -2(0) = 0 \quad \rightarrow \quad (0, 0) \]
For \( x = 1 \): \[ y = -2(1) = -2 \quad \rightarrow \quad (1, -2) \]
For \( x = 2 \): \[ y = -2(2) = -4 \quad \rightarrow \quad (2, -4) \]

Now we have the points:

\( (0, 0) \)
\( (1, -2) \)
\( (2, -4) \)

These points can be plotted on the coordinate plane, and when connected, they will form a straight line that extends infinitely in both directions.

Looking at the description of your image responses, the correct set of points that represent the equation \( y = -2x \) is the one labeled:

left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma negative 2 right parenthesis, and left parenthesis 2 comma negative 4 right parenthesis.