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How to Write the equation of the line that is parallel to Y=2x+5 and passes through the point (-7,-9)
 Mar 14, 2014
 #1
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Lt_Soul:

How to Write the equation of the line that is parallel to Y=2x+5 and passes through the point (-7,-9)



Well, for starters, if 2 lines are parallel what does that tell you about their slope? (The slope is the gradient)

y=mx+b is the gradient and y intercept form of a line. m is the gradient. b is the y intecept.

So how about you add some input at this point. What can you tell me about this line that you need. ???
 Mar 14, 2014
 #2
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Hello Lt_Soul,
We are searching a line e: y=mx+b.
If e(line) parallel to y=2x+5 then the two lines have the same Slope! So m=2.
Also, if the point A(-7, -9) we can easy find b:
(y-yA)=m(x-xA) => (y-(-9))=2*(x-(-7))
(y-(-9))=2*(x-(-7))

Finally, the line which is parallel to y=2x+5 and passes through the point (-7, -9) is the line y=2x+5

Dms
 Mar 14, 2014

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