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Mathematics 18 Online
OpenStudy (anonymous):

The lines graphed below are perpendicular. The slope of the red line is -. What is the slope of the green line?

OpenStudy (anonymous):

OpenStudy (anonymous):

If two lines are perpendicular, they have slopes equal to one another's negative reciprocal.

OpenStudy (anonymous):

which mean the answer is???

OpenStudy (shadowfiend):

What is `-'?

OpenStudy (anonymous):

-1/3

OpenStudy (shadowfiend):

How do you find the reciprocal of a fraction?

OpenStudy (anonymous):

It means if you multiply two perpendicular slopes together you should get -1.

OpenStudy (anonymous):

You first must determine the slope of one of the lines. By viewing the red line and how far is travels on the x axis for each position is moves down on the y-axis, you should be able to determine the slope of that line. (Only look below this point if you can't solve it at this point) We can notice that the slope of the red line is \[-1/3\] because the red line moves down two places on the y-axis while it traverses 6 spaces on the x axis. (Second tip) The negative reciprocal means that you must flip the fraction and multiply it by negative one. (In technical terms, you are raising the slope to the -1st power and then multiplying the result by one).

OpenStudy (anonymous):

so the answer is 1?

OpenStudy (anonymous):

No, sorry. I think I confused you a bit.

OpenStudy (anonymous):

-1?

OpenStudy (anonymous):

Read what Goldenbear said.

OpenStudy (anonymous):

i am still confuses

OpenStudy (anonymous):

Ok step by step. 1) Find the slope of the line you have. 2) Change the sign. 3) Take the reciprocal (flip the fraction upside-down) The result is the slope perpendicular to the original line.

OpenStudy (anonymous):

3

OpenStudy (anonymous):

Correct.

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