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- anonymous

Write the equation of the line that is parallel to the line y = 2x + 2 and passes through the point (5, 3).
y = 2x − 7
y = −x − 2
y = 2x − 2
y = −x − 7

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- anonymous

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- anonymous

State the slope which in this case is 2 according to y=mx+b

- anonymous

Then plug in y=mx+b and 2 as m and then plug in (5, 3) as x and y. Then solve for b.

- anonymous

so its either choice A or C

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- anonymous

Correct. Because the slope has to be 2 because parallel lines have the same slope.

- anonymous

im pretty sure its A am i correct?

- anonymous

Well, lets see.
y=mx+b
we got 2 as m
and we have the coordinate (5,3)
x=5 y=3
Plug it in the formula.
y=mx+b
3=2(5)+b
3=10+b
subtract 10 from both sides.
-7=b
So now we got all neccesary items to rewrite this as another equation thats parallel to the previous equation.
We got the slope: 2
We got the b: -7
Plug it all in.
y=mx+b
y=2x-7

- anonymous

oh ok thanks alot!

- anonymous

Sure no problem :D

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