SOLUTION: Write the equation of the line which passes through the point (2,1) and is parallel to the line with the equation y= 5/2x+6

Algebra ->  Graphs -> SOLUTION: Write the equation of the line which passes through the point (2,1) and is parallel to the line with the equation y= 5/2x+6      Log On


   

Question 105339: Write the equation of the line which passes through the point (2,1) and is parallel to the line with the equation y= 5/2x+6
Found 2 solutions by scott8148, checkley75:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
parallel means same slope

using point-slope; y-1=(5/2)(x-2)

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
Y=5X/2+6 (RED LINE) HAS A SLOPE OF 5/2 SO ANY PARALLEL LINE ALSO HAS A SLOPE OF 5/2.
THUS PASSINGH THROUGH (2,1) WE NEED TO SUBSTITUTE THESE VALUES IN THE LINE EQUATION Y=mX+b & SOLVE FOR b
1=5/2*2+b
b=1-5
b=-4 SO THE PARALLEL LINE EQUATION IS;
Y=5X/2-4 (GREEN LINE)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+5x%2F2+%2B6%2C+y+=+5x%2F2+-4%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 5x/2 +6 and y = 5x/2 -4).