Question

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

Answer 1

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:

$3x - 12y = -60$

Divide through by -12

$-0.25x +y = 5$

Make y the subject

$y = 0.25x + 5$

$6x - 2y = -10$

Divide through by 2

$3x - y = -5$

Make y the subject

$y = 3x + 5$

$9x - 9y = -45$

Divide through by -9

$-x + y = 5$

Make y the subject

$y = x + 5$

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:

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