The graphs and their equations are:
- Line 1: 6x - 2y = -10
- Line 2: 9x - 9y = -45
- Line 3: 3x - 12y = -60
<h3>How to determine the equations of the graphs</h3>
The three lines are linear equations, because they are all straight lines.
Also, the lines have the same y-intercept (this is so, because they cross the y-axis at the same point), but they have the same slope
Next, we rewrite the equations in slope-intercept form.
So, we have:
![3x - 12y = -60](https://tex.z-dn.net/?f=3x%20-%2012y%20%3D%20-60)
Divide through by -12
![-0.25x +y = 5](https://tex.z-dn.net/?f=-0.25x%20%2By%20%3D%205)
Make y the subject
![y = 0.25x + 5](https://tex.z-dn.net/?f=y%20%3D%200.25x%20%2B%205)
![6x - 2y = -10](https://tex.z-dn.net/?f=6x%20-%202y%20%3D%20-10)
Divide through by 2
![3x - y = -5](https://tex.z-dn.net/?f=3x%20-%20y%20%3D%20-5)
Make y the subject
![y = 3x + 5](https://tex.z-dn.net/?f=y%20%3D%203x%20%2B%205)
![9x - 9y = -45](https://tex.z-dn.net/?f=9x%20-%209y%20%3D%20-45)
Divide through by -9
![-x + y = 5](https://tex.z-dn.net/?f=-x%20%2B%20y%20%3D%205)
Make y the subject
![y = x + 5](https://tex.z-dn.net/?f=y%20%3D%20x%20%2B%205)
Line 1 has the highest slope, while line 3 has the least slope.
So, we have the following equations:
- Line 1: 6x - 2y = -10
- Line 2: 9x - 9y = -45
- Line 3: 3x - 12y = -60
Read more about linear equations at:
brainly.com/question/14323743