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 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. 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: (0, 0), (1, -2), and (2, -4).
the x-axis and from 11 to negative 11 in unit increments on the y-axis. A line with arrows at both ends joins three plotted points and extends beyond. The coordinates of the plotted points are: (0, 0), (1, -2), and (2, -4).
To graph the proportional relationship y = -2x, we can plot points on a coordinate plane and connect them.
First, let's choose some x-values and substitute them into the equation to find the corresponding y-values.
One way to choose x-values is to start with 0 and then choose other values that are easy to work with.
Let's choose x = 0. If we substitute this into the equation y = -2x, we get y = -2(0) = 0.
So the first point is (0, 0).
Next, let's choose x = 1. Substituting this into the equation, we get y = -2(1) = -2.
So the second point is (1, -2).
Finally, let's choose x = 2. Substituting this into the equation, we get y = -2(2) = -4.
So the third point is (2, -4).
Now we can plot these three points on a coordinate plane. Make sure the x-axis ranges from negative 9 to 9 in unit increments and the y-axis ranges from 11 to -11 in unit increments. Mark the points (0, 0), (1, -2), and (2, -4).
Finally, we can connect the points with a line that extends beyond the plotted points. In this case, a straight line passing through these points will be enough. The line should have arrows at both ends to represent that it continues indefinitely in both directions.
That's it! You have successfully graphed the proportional relationship y = -2x by plotting points.