Write an equation of the line that passes through point p and is parallel to the line with the given equation. Problem: P (4,0), -x + 2y=12
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OpenStudy (anonymous):
First get the equation you were given into slope intercept form. In other words, solve for y
OpenStudy (anonymous):
It would be y= 1/2 + 6
OpenStudy (anonymous):
I dont know what to do after that
OpenStudy (anonymous):
Alright, parallel lines have the same slope. So these two lines have the same slope...do you know what number in that equation would be the slope?
OpenStudy (anonymous):
It would be 1/2
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OpenStudy (anonymous):
Yep. and you have a point the line goes through so you can do point slope form which is:
y-y1=m(x-x1)
ever seen that?
OpenStudy (anonymous):
I dont understand
OpenStudy (anonymous):
Thats the formula for point slope form which when simplified will give you the equation you want. (x1, y1) is the point you were given and m is the slope, so just plug those in
OpenStudy (anonymous):
y-0=1/2(x-4)
OpenStudy (anonymous):
I get it now!!! Thank you so much!!
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OpenStudy (anonymous):
Did you simplify the equation?
OpenStudy (anonymous):
When you simplify you get
y=1/2x-2
and that is your final answer