Which statement best explains if the graph correctly represents the proportional relationship y = −2x?
A coordinate plane is shown. Points are graphed at 2 comma 4 and negative 1 comma 2. The points are joined by a line.
No, the points shown would not be part of y = −2x
No, proportions cannot be represented on a graph
Yes, all proportions can be shown on a graph of this line
Yes, the points shown on the line would be part of y = −2x
I think the answer is D.
much better choice
4 = -2(2) ??
What is the right answer. How about A.
What is the answer A or D
it is D
The correct answer is D. Yes, the points shown on the line would be part of y = −2x.
To explain why, let's first understand the equation y = -2x. In a proportional relationship, the ratio of y to x should always be constant. In this case, the ratio is -2, which means that for every unit increase in x, the value of y decreases by 2 units.
Looking at the given graph, the points (2, 4) and (-1, 2) are plotted. We can determine if these points are part of the proportional relationship by substituting the x and y values from these points into the equation y = -2x.
For the point (2, 4), we substitute x = 2 and y = 4 into the equation:
4 = -2(2) = -4
The equation holds true for this point.
For the point (-1, 2), we substitute x = -1 and y = 2 into the equation:
2 = -2(-1) = 2
Again, the equation holds true for this point.
Since both points satisfy the equation y = -2x, we can conclude that the points shown on the line are indeed part of the proportional relationship y = -2x. Therefore, the correct answer is D.