The graphs and their equations are:
- Line 1: 6x - 2y = -10
- Line 2: 9x - 9y = -45
- Line 3: 3x - 12y = -60
How to determine the equations of the graphs
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:
[tex]3x - 12y = -60[/tex]
Divide through by -12
[tex]-0.25x +y = 5[/tex]
Make y the subject
[tex]y = 0.25x + 5[/tex]
[tex]6x - 2y = -10[/tex]
Divide through by 2
[tex]3x - y = -5[/tex]
Make y the subject
[tex]y = 3x + 5[/tex]
[tex]9x - 9y = -45[/tex]
Divide through by -9
[tex]-x + y = 5[/tex]
Make y the subject
[tex]y = x + 5[/tex]
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:
https://brainly.com/question/14323743
