An important postulate in geometry states: "Through Point P, there is only one line parallel to ". What is the equation of line l, parallel to that passes through Point X?
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Question

An important postulate in geometry states: "Through Point P, there is only one line parallel to ". What is the equation of line l, parallel to  that passes through Point X?
https://media.glynlyon.com/g_geo_ccss_2013/9/geou09c03l11_19.gif

anonymous · Answer

@jim_thompson5910

anonymous · Answer

@elementwielder

anonymous · Answer

@e.mccormick

anonymous · Answer

well if they are parallel you know the slope is the same so try to find how many units up it is

anonymous · Answer

on the y-axis

anonymous · Answer

Sarai, element is correct. Just find the slope that contains point A and B.  The will give you the m value in the equation of a line. The slopes will be the same for both lines. Next just plug in the coordinates for point x into the equation y=mx +b and solve for b.

anonymous · Answer

It's 5/12 for the slope

anonymous · Answer

yup so whats b?

anonymous · Answer

I'm not sure how to find that @elementwielder

anonymous · Answer

How would I do that?

anonymous · Answer

one second

anonymous · Answer

ok so insert the given point of the line you are trying to solve for y-intercept
so
$$10=\frac{ 5 }{ 12 }\times (-5)+b$$

anonymous · Answer

so make sure everything is equal to b then solve

anonymous · Answer

I'm solving it weird. Can you please walk me through the steps?

anonymous · Answer

well all i know is that the answer is weird... i keep getting 12...

anonymous · Answer

so maybe ask someone else cause im out of ideas

anonymous · Answer

Okay thanks anyways. @marshallinwashington do you have any ideas?

anonymous · Answer

welcome

anonymous · Answer

The slope is a -5/12, not 5/12

 I get a b value of 95/12, which about 7.92

anonymous · Answer

I've got to run. So I check back later to see if you have any problems.

anonymous · Answer

the slope is negative... forgot about that

anonymous · Answer

@sarai_lopez your answer for y-intercept is 7.92 (rounded)

anonymous · Answer

So my equation is y=-5/12x+7.92?

anonymous · Answer

yes

anonymous · Answer

And that's the final answer right?

anonymous · Answer

@elementwielder

anonymous · Answer

yes

anonymous · Answer

Thank you

anonymous · Answer

welcome lol anytime 1st long as im on

anonymous · Answer

The vertex of a parabola is (0,0) and the focus is (0,2). What is the equation of the parabola?
The focus of a parabola is (0, -3) and the directrix is y = 3. What is the equation of the parabola?
@elementwielder