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Mathematics 21 Online
OpenStudy (anonymous):

Select the equation of a line that is perpendicular to the line on the graph and passes through the point (3, 2).

OpenStudy (anonymous):

OpenStudy (anonymous):

Do you know what the original equation is?

OpenStudy (anonymous):

Nope.

OpenStudy (anonymous):

Mkay, hold on.

OpenStudy (anonymous):

Okay, so by looking at the graph I can tell the original equation is y = 3x + 2. Now I just need to find the perpendicular equation.

OpenStudy (anonymous):

\[y = \frac{ 1 }{ 3 } x + 3\]\[y = -\frac{ 1 }{ 3 } x + 3\]\[y = 3 x + 2\]\[y = -\frac{ 1 }{ 3 } x + 2\]

OpenStudy (anonymous):

Can you explain how you know thats the equation?

OpenStudy (anonymous):

Okay.

OpenStudy (anonymous):

Look at the graph closely the y intercept is 2... and the slope is 3/1.

OpenStudy (anonymous):

The slope form equation is y = m(x - x) so I inserted the slope 3 for m and 2 for the second x.

OpenStudy (anonymous):

Okay! that makes perfect sense!

OpenStudy (anonymous):

Now we need to find the equation that is perpendicular. To do that we need this equation: \[y - y _{1} = m(x - x _{1})\]

OpenStudy (anonymous):

We were given the points, (3, 2). Where x = 3 and y = 2.

OpenStudy (anonymous):

Now I will insert the numbers. y - 2 = 6(x - 3) I am not sure what the slope is so I am using 6. but I will check to see if it is correct.

OpenStudy (anonymous):

y - 2 = 6(x - 3) y - 2 = 6x - 18 +2 = + 2 y = 6x - 16

OpenStudy (anonymous):

Now I am going to graph it to make sure it's correct brb.

OpenStudy (anonymous):

It is Perpendicular and it passes through (3,2), but is it one of your answer options?

OpenStudy (anonymous):

Look up there more. I don't thin it is.

OpenStudy (anonymous):

Okay, is this an assignment or test? Also, What do the answer options look like? Are they equations or graphs?

OpenStudy (anonymous):

*does

OpenStudy (anonymous):

Equations, I posted it up there. It is a test, not an exam.

OpenStudy (anonymous):

I don't see any answer options I just see a graph. I used the graph to find both equations. Do you have answer options or do you have to write this down?

OpenStudy (anonymous):

\[y = \frac{ 1 }{ 3 }x + 3\]\[y = -\frac{ 1 }{ 3 }x + 3\]\[y = 3x + 2\]\[y = 1\frac{ 1 }{ 3 }x + 2\]

OpenStudy (anonymous):

@YISODUMB15

OpenStudy (anonymous):

Oh, ok. Hold on.

OpenStudy (anonymous):

Hmm.... it doesn't see like any of those pass through (3,2)...

OpenStudy (anonymous):

Strange.

OpenStudy (anonymous):

Ya, I graphed it. All of them are perpendicular but none of them pass through (3, 2). Let me re-check.

OpenStudy (anonymous):

Okay

OpenStudy (anonymous):

Okay, it's y = (-1/3)x + 3.... The second one.

OpenStudy (anonymous):

I'll send a file.

OpenStudy (anonymous):

OpenStudy (anonymous):

What do I open that in?

OpenStudy (anonymous):

Err, anything you want I guess?....

OpenStudy (anonymous):

is it a picture?

OpenStudy (anonymous):

Yes, of the graph.

OpenStudy (anonymous):

It's just proof, but you don't need it.

OpenStudy (anonymous):

Okay. Thank you

OpenStudy (anonymous):

Your Welcome.

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