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Mathematics 11 Online
OpenStudy (anonymous):

Write the equation of the line on the following graph. (pic included) Please let me know if my answer is correct?

OpenStudy (anonymous):

OpenStudy (anonymous):

What did you get??

OpenStudy (anonymous):

My answer was y = 3/3x + 1 please let me know if im correct

OpenStudy (anonymous):

nope, not correct.

OpenStudy (anonymous):

2/3?

OpenStudy (anonymous):

Explain it to me please.

OpenStudy (anonymous):

ok lets take any two points on the graph

OpenStudy (anonymous):

2/3 looks like the correct slope. You got everything correct except for the slope. instead of 3/3x it would be (2/3)x

OpenStudy (anonymous):

i will choose (0,-1)(1.5,0)

OpenStudy (anonymous):

I'll let @surdawi explain.

OpenStudy (anonymous):

m = (y2 - y1)/(x2 - x1) can you plug in the numbers and find the slope

OpenStudy (anonymous):

choose any two points

OpenStudy (anonymous):

How about points -1 and 3?

OpenStudy (anonymous):

you need two points on the line

OpenStudy (anonymous):

(0,-1) and (3,1)

OpenStudy (anonymous):

ok now what are the y values and what are the x values

OpenStudy (anonymous):

y values are 1 and -1, x are 0 and 3

OpenStudy (anonymous):

can you substitute into this equation m = (y2-y1)/(x2-x1)

OpenStudy (anonymous):

m = (1 - -1) / (3-0)

OpenStudy (anonymous):

what will it be

OpenStudy (anonymous):

2/3

OpenStudy (anonymous):

y – y1 = m*(x – x1) plug in

OpenStudy (anonymous):

y-(-1)=mx-m0

OpenStudy (anonymous):

would that be it?

OpenStudy (anonymous):

yes, what is m

OpenStudy (anonymous):

m is 1?

OpenStudy (anonymous):

u solved for it earlier

OpenStudy (anonymous):

I just don't understand how to subtract mx from m0

OpenStudy (anonymous):

anything times zero is zero

OpenStudy (anonymous):

y - -1 = mx

OpenStudy (anonymous):

m is 2/3 right?

OpenStudy (anonymous):

Oh okay, so i put 2/3 into the formula

OpenStudy (anonymous):

yes y - -1 what is - - 1=

OpenStudy (anonymous):

it is 1

OpenStudy (anonymous):

So y + 1 = 2/3x?

OpenStudy (anonymous):

yes but the slope equation is y = mx + b move the 1 to the other side what do you get

OpenStudy (anonymous):

y = 2/3x + 1 Thank you! :)

OpenStudy (anonymous):

nope to move the one you need to subtract y +1 = 2/3x -1 -1 y = 2/3x - 1

OpenStudy (anonymous):

Oh okay, so I subtract the 1. Thank you for your help :)

OpenStudy (anonymous):

anytime

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