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Mathematics 15 Online
OpenStudy (anonymous):

I really need help on a problem. Can anybody lend a helping hand?

OpenStudy (vishweshshrimali5):

your question please ?

OpenStudy (vishweshshrimali5):

@bvillaace you there ?

OpenStudy (beccaboo333):

._. Please just post your question. No one will be able to help you if you don't post it.

OpenStudy (anonymous):

Line BC contains points B (4, −5) and C (3, 2). Line DE contains points D (2, 0) and E (9, 1). Lines BC and DE are

OpenStudy (anonymous):

parallel perpendicular neither

OpenStudy (vishweshshrimali5):

You must try to calculate the slope of each line and then compare them.

OpenStudy (vishweshshrimali5):

Do you know how to calculate the slope of a line ?

OpenStudy (anonymous):

no. how do i do that?

OpenStudy (vishweshshrimali5):

Okay, if I am given a line containing two points \((x_1, y_1)\), \((x_2,y_2)\), then the slope of the line is given by: slope, \(\large{m = \cfrac{y_2 - y_1}{x_2 - x_1}}\) Can you now calculate the slope of each line ?

OpenStudy (anonymous):

yes i will try

OpenStudy (vishweshshrimali5):

good

OpenStudy (anonymous):

slope, m= 2+5/3-4

OpenStudy (anonymous):

slope, m= 7/-1

OpenStudy (vishweshshrimali5):

good , so, slope of first line = -7.

OpenStudy (anonymous):

okay so slope of BC=-7

OpenStudy (vishweshshrimali5):

Yeah

OpenStudy (anonymous):

slope, m= 1-0/9-2

OpenStudy (anonymous):

slope, m= 1/7

OpenStudy (anonymous):

slope of line DE=1/7

OpenStudy (vishweshshrimali5):

Good, very good

OpenStudy (vishweshshrimali5):

Now there are some important points: (1) If slopes of 2 lines are equal, then they are parallel or coincident (2) If the product of slopes of 2 lines is -1, then the lines are perpendicular.

OpenStudy (anonymous):

well they are not equal and there is not 2 lines that are equal so is it neither?

OpenStudy (vishweshshrimali5):

Did you try for point (2) ?

OpenStudy (vishweshshrimali5):

When you will multiply the both slopes, you will find the product to be (-1). So, the lines will be perpendicular. Sorry, but I have to go sleep.

OpenStudy (vishweshshrimali5):

*go to sleep

OpenStudy (anonymous):

okay thanks and sorry, i had to clean my room

OpenStudy (anonymous):

message me next time you are on so that if you want you can help me and i can help you if you need it

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