Question

Which statement best explains if the graph correctly represents the proportional relationship y = −2x?

a. It does not, the points shown would not be part of y = −2x.
b. It does not, proportions cannot be represented on a graph.
c. It does, all proportions can be shown on a graph of this line.
d. It does, the points shown on the line would be part of y = −2x.

Answer 1

d. It does, the points shown on the line would be part of y = −2x.
is the answer let me know if this helped

Answer 2

So, it does, the points shown on the line would be part of y = −2x.

Explanation:

1)The linear function
`y=-2x` is a decreasing one therefore it is graphed from 2nd Quadrant to 4th Quadrant. In addition to this, since is linear parameter b is equal to zero, the line crosses its origin. Finally, its slope is equal to -2.

2)We have (-1,2) and (2,4), pointed out. Linear functions with b=0 are proportional ones. Proportional functions have its slope calculated by:

`k=(y)/(x)=(2)/(-1)=(4)/(-2)\Rightarrow k=-2`

So, it does, the points shown on the line would be part of y = −2x.