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Mathematics 12 Online
OpenStudy (anonymous):

NEed Help MEdalss!!!!!

OpenStudy (anonymous):

Find the eqaution of each line in slope intercept form Throught he point (6,1) with slope=1/3

hartnn (hartnn):

the equation in slope point form is y -y1 = m (x-x1) where m = slope, x1,y1 is the point

OpenStudy (anonymous):

y-1 = 1/3(x-6) 3y-3=x-6 x-3y-3=0

hartnn (hartnn):

first find equation in that form, then you can isolate y to get it in slope intercept form.

OpenStudy (anonymous):

Hope that helps! :)

OpenStudy (anonymous):

So how do i find it in that equation form? Thnx @Rosy333

OpenStudy (anonymous):

You've understood it?

OpenStudy (anonymous):

Ive got the equation but i was trying to understand how you got there?

OpenStudy (anonymous):

can you explain? :/

OpenStudy (anonymous):

?

OpenStudy (anonymous):

That is a basic formula which you are supposed to remember! y-y1=m(x-x1) where m=slope

OpenStudy (anonymous):

so what would Y be? because i thought the slope wouldve been y

hartnn (hartnn):

and for slope intercept form, u need to isolate y y-1 = 1/3(x-6) y = x/3 -2+1 y=x/3 -1

hartnn (hartnn):

y is not slope, m= slope

OpenStudy (anonymous):

oh okay i get it :)

OpenStudy (anonymous):

y-y1=m(x-x1) where m=slope, so just remember this formula for problems like this than

OpenStudy (anonymous):

yes/no/maybe so?

OpenStudy (anonymous):

thanks anyways

OpenStudy (amistre64):

we can create a parallel line that passes thru the origin (0,0) as:\[y=\frac13x\] in order to move the point (6,1) to the origin, we would have to subtract 6 from the x component, and subtract 1 from the y component:\[(6-6,1-1)=(0,0)\] but, we do not just want to move that single point, we want to move ALL the points (x,y) from that line, so in general:\[(x,y)\to (x-6,y-1)\] is our translation:\[(y=\frac13x)\to (y-6=\frac13(x-1))\]

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