Answered

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Match each graph with the correct equation written in
standard form. Explain your reasoning.

Match Each Graph With The Correct Equation Written In Standard Form Explain Your Reasoning class=

Sagot :

MrRoyal

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

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