SOLUTION: Please help write the equation of the line which passes through the point (2, 1) and is parallel to the line with equation y =5/2x + 6 Thank You!

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Question 49112This question is from textbook Beginning Algebra
: Please help write the equation of the line which passes through the point (2, 1) and is parallel to the line with equation y =5/2x + 6
Thank You! This question is from textbook Beginning Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Recall that parallel lines have the same slope.
The slope, m, of the given line y+=+%285%2F2%29x+%2B+6 is: m+%5D+5%2F2, so, for the new line, you can write:
y+=+%285%2F2%29x+%2B+b To find the value of b, the y-intercept, just substitute the x- and y-coordinates of the given point (2, 1) and solve for b.
1+=+%285%2F2%29%282%29+%2B+b Simplify.
1+=+5+%2B+b Subtract 5 from both sides of the equation.
-4+=+b Now you can write the final equation of the new line:
y+=+%285%2F2%29x+-+4