Question

Graph the proportional relationship y=2x
by plotting points.(1 point)
Responses

A. 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.

B. 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.

C. 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.

D. 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.

Answer 1

To determine the correct graph for the proportional relationship given by the equation \( y = 2x \), we can calculate several points based on this equation.

Here are some points we can find:

- When \( x = 0 \), \( y = 2(0) = 0 \) → Point: (0, 0)
- When \( x = 1 \), \( y = 2(1) = 2 \) → Point: (1, 2)
- When \( x = 2 \), \( y = 2(2) = 4 \) → Point: (2, 4)
- When \( x = 3 \), \( y = 2(3) = 6 \) → Point: (3, 6)

Now let's look at the responses:

- **A**: Points (0, 0) and (2, 1) — *Incorrect*.
- **B**: Points (0, 0), (1, 2), and (2, 4) — *Correct*.
- **C**: Points (0, 0), (1, 3), and (2, 6) — *Incorrect*.
- **D**: Points (0, 0) and (1, 4) — *Incorrect*.

Based on the calculated points, the correct response is **B**: 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 ends joins three plotted points and extends beyond. The coordinates of the plotted points are: (0, 0), (1, 2), and (2, 4).