Question

Graph the proportional relationship y=2x by plotting points

1,4 : 0,0
2,6 : 1,3: 0,0
2,4 : 1,2 : 0,0
0,0 : 2,1

Answer 1

[AI-generated answer — Bot GPT 3.5]

Here is the graph of the proportional relationship y=2x:

- The first point (1,4) means that when x=1, y=4.
- The second point (2,6) means that when x=2, y=6.
- The third point (1,3) means that when x=1, y=3.
- The fourth point (0,0) means that when x=0, y=0.

Plotting these points on a graph will give us a straight line passing through the origin (0,0) and having a slope of 2.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To graph the proportional relationship y = 2x, we can start by choosing a few x-values and finding their corresponding y-values.

Let's choose the following x-values: 0, 1, and 2.

When x = 0:
y = 2(0) = 0
So, the first point is (0, 0).

When x = 1:
y = 2(1) = 2
So, the second point is (1, 2).

When x = 2:
y = 2(2) = 4
So, the third point is (2, 4).

We can plot these points on a graph:

(0, 0)
(1, 2)
(2, 4)

Connecting these points with a straight line gives us the graph of the proportional relationship y = 2x.

Answer 3

[AI-generated answer — Explain Bot]

To graph the proportional relationship y = 2x, you can plot points on a coordinate plane.

1. Start by choosing a set of x-values to create a table of values. Let's choose x = 0, 1, and 2.

2. Substitute each x-value into the equation y = 2x to find the corresponding y-values.
- For x = 0, y = 2(0) = 0. So, the point is (0, 0).
- For x = 1, y = 2(1) = 2. So, the point is (1, 2).
- For x = 2, y = 2(2) = 4. So, the point is (2, 4).

3. Plot these points on a coordinate plane.

- The point (0, 0) tells us that when x = 0, y = 0.
- The point (1, 2) tells us that when x = 1, y = 2.
- The point (2, 4) tells us that when x = 2, y = 4.

4. Connect the points with a straight line. Note that since this is a proportional relationship, the line will pass through the origin (0, 0).

The graph should show a straight line that passes through the origin (0, 0) and extends through the points (1, 2) and (2, 4).