Plot the missing equivalent ratios on the coordinate plane
To plot the missing equivalent ratios on a coordinate plane, we need to determine the x and y coordinates for each ratio. Let's say the ratios we want to plot are 1:2, 2:4, and 3:6.
For the ratio 1:2, the x-coordinate can be any value on the x-axis and the y-coordinate will be twice the value of the x-coordinate. So, we can choose some values for the x-coordinate, such as 0, 1, and 2. The corresponding y-coordinates will then be twice these values: 0, 2, and 4.
For the ratio 2:4, we can use the same x-coordinates 0, 1, and 2. However, since the ratio is already in its simplest form, the y-coordinates will be equal to the x-coordinates: 0, 1, and 2.
For the ratio 3:6, again we can use the x-coordinates 0, 1, and 2. However, since the ratio is already in its simplest form, the y-coordinates will be equal to half the value of the x-coordinates: 0, 0.5, and 1.
Plotting these points on a coordinate plane will give us three different lines that intersect at the origin (0,0). The first line will have points (0,0), (1,2), and (2,4). The second line will have points (0,0), (1,1), and (2,2). The third line will have points (0,0), (1,0.5), and (2,1).
Here's a graphical representation of the three lines on the coordinate plane:
```
|
4 | . (2,4)|
| . |
3 | |
| |
2 | (1,2) . |
| |
1 | (2,2).__________(2,2)
| |
0__|________________|___________________
0 1 2
```
```
|
2 | |
| .(2,1) |
1 | |
|.(1,0,5) |
0__|_(0,0)_|_(1,0)_|_(2,0)______________
0 1 2
```
As you can see, each line represents a different equivalent ratio, showing the relationship between the x and y values for each ratio.