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

Mathematics

1 answer:

My name is Ann [436]2 years ago

5 0

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:

$3x - 12y = -60$

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:

brainly.com/question/14323743

You might be interested in

Find angle B. What is angle B.

julsineya [31]

Answer:

B=45 Degrees

Step-by-step explanation:

You can use law of sines to answer. Law of Sines states that $\frac{sin(a)}{A} =\frac{sin(b)}{B}$ . That means that $\frac{sin(60)}{4\sqrt{6} }=\frac{sin(b)}{8}$ . Multiplying 8 to both sides gives us $\frac{8sin(60)}{4\sqrt{6} }=sin(b)$ . By using inverse of sin, we get $b = sin^{-1} (\frac{8sin(60)}{4\sqrt{6} } )$ . Plugging that into a calculator gives us b=45 degrees.