SOLUTION: Hello, I need help understanding this math problem. Please help me if you can. Thank you Write an equation of the line that is parallel to the given line y = 2x + 3 and th

Algebra ->  Graphs -> SOLUTION: Hello, I need help understanding this math problem. Please help me if you can. Thank you Write an equation of the line that is parallel to the given line y = 2x + 3 and th      Log On


   

Question 807836: Hello, I need help understanding this math problem. Please help me if you can. Thank you
Write an equation of the line that is parallel to the given line
y = 2x + 3 and the given point (-4,1).
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
By saying the unknown line is parallel to the
line +y+=+2x+%2B+3+ you are saying that it has
the same slope.
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When the form of the equation is +y+=+m%2Ax+%2B+b+
as in this case, slope = +m+, so slope = +2+
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So far, you know your unknown equation looks like
+y+=+2x+%2B+b+
And, also it goes through the point (x,y) = (-4,1)
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Now I can plug in the x and y value of this point
+1+=+2%2A%28-4%29+%2B+b+
+1+=+-8+%2B+b+
+b+=+9+
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So, the equation you are looking for is:
+y+=+2x+%2B+9+
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check:
does it go through (-4,1) ?
+1+=+2%2A%28-4%29+%2B+9+
+1+=+-8+%2B+9+
+1+=+1+
OK
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Here's a plot of both lines:
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+2x+%2B+3%2C+2x+%2B+9+%29+