SOLUTION: I have the following problem; Write the equation of the line which passes through the point (2,1) and is parallel to the equation y = 5/2x + 6. My answer is y= 5/2x - 1 is this cor

Algebra ->  Coordinate-system -> SOLUTION: I have the following problem; Write the equation of the line which passes through the point (2,1) and is parallel to the equation y = 5/2x + 6. My answer is y= 5/2x - 1 is this cor      Log On


   

Question 51583: I have the following problem; Write the equation of the line which passes through the point (2,1) and is parallel to the equation y = 5/2x + 6. My answer is y= 5/2x - 1 is this correct? Please help.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Sorry, but no cigar!
You do have the first term corect (%285%2F2%29x but the y-intercept (b) is not right.
Let's start with what you have done.
y+=+%285%2F2%29x+%2B+b To find the value of b, you need to substitute the x- and y-coordinates of the given point (2, 1)
1+=+%285%2F2%29%282%29+%2B+b Simplify this.
1+=+5+%2B+b Subtract 5 from both sides of the equation.
-4+=+b Now you can write the equation:
y+=+%285%2F2%29x+-+4
Here are the two lines on a graph:
y+=+%285%2F2%29x%2B6 Red line.
y+=+%285%2F2%29x-4 Green line.
graph%28300%2C200%2C-5%2C5%2C-5%2C8%2C%285%2F2%29x%2B6%2C%285%2F2%29x-4%29