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- anonymous

find the equation of the line in slope intercept form, that passes through (4,-1) and (6,-2)
can someone help me please :)

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- myininaya

Do you know what slope intercept form is?

- anonymous

yes,
when i did it i got
\[y= -\frac{ 1 }{ 2 }x+\frac{ 7 }{ 2 }\]

- myininaya

The slope is right...Checking the y-intercept now...

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- anonymous

ok

- myininaya

You should retry to find the y-intercept. It is incorrect.
Start here:
y=mx+b
where m=-1/2
y=-1/2 * x +b
Use one of the points gven to plug in for x and to plug in for y.

- myininaya

Either use (4,-1) or (6,-2) but don't mix and match

- anonymous

i got 1

- myininaya

yes b=1

- anonymous

so if i were to show my work on a homework assignment i would find the slope and then put it in point slope form? or just plug it back into the equation in slope intercept

- myininaya

Either way.

- anonymous

because when i did it in point slope form like my teacher said i did not get one i got 7/2

- myininaya

Then you did it incorrectly.
You found the slope m=-1/2
Plug it in
y-y1=m(x-x1)
Don't forget to distribute
y-y1=mx-mx1

- myininaya

add y1 on both sides
y=mx-mx1+y1

- anonymous

yeah i got it now. and one more question
standard form is ax+by=c right?

- myininaya

Yes.

- anonymous

okay because my book said ax+by+c=0 and my teacher said ax+by=c

- myininaya

Go with what your teacher said. Either one is fine. Both of those forms don't differ a whole a lot.
All my math life, I have prefered the slope-intercept form.

- myininaya

Your teacher will be grading you and it is their preference in what form they want the answer.

- anonymous

okay thank you so much :)

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