SOLUTION: Write the equation of the line L that satisfies the given geometric conditions. L has y-intercept (0, -3) and is parallel to the line with equation y= 2/3x + 1

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Write the equation of the line L that satisfies the given geometric conditions. L has y-intercept (0, -3) and is parallel to the line with equation y= 2/3x + 1      Log On


   

Question 256881: Write the equation of the line L that satisfies the given geometric conditions. L has y-intercept (0, -3) and is parallel to the line with equation y= 2/3x + 1
Found 2 solutions by richwmiller, drk:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
y=mx+b
m of the old equation is 2/3
b=-3
y=2/3x-3

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
step 1 - solve for y. That is done as
y+=+%282%2F3%29x+%2B+1
step 2 - Slope is 2/3
step 3 - we want the parallel slope, so we use the same number, 2/3.
step 4- use y =mx + b and our point to get
y+=+mx+%2B+b
-3+=+0%2A%282%2F3%29+%2B+b
-3+=+b
step 5 - write the answer as
y+=+%282%2F3%29x++-+3