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

Question 100730: Write the equation of the line L satisfying the given geometric conditions.
L has y-intercept (0,-3) and is parallel to the line with equation y=2/3x+1

Found 3 solutions by checkley71, stanbon, jim_thompson5910:
Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
Y=mX+b
Y=2X/3-3 IS THE EQUATION WITH A SLOPE OF 2/3 & A Y INTERCEPT OF -3.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Write the equation of the line L satisfying the given geometric conditions.
L has y-intercept (0,-3) and is parallel to the line with equation y=2/3x+1
---------------------------
If it is parallel to y = (2/3)x+1, its slope is (2/3)
-----------------
So the equation is y = (2/3)x - 3
============
Cheers,
Stan H.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Finding the Equation of a Line Parallel or Perpendicular to a Given Line

Since any two parallel lines have the same slope we know the slope of the unknown line is (its from the slope of which is also ). Also since the unknown line goes through (0,-3), we can find the equation by plugging in this info into the point-slope formula

Point-Slope Formula:

where m is the slope and (,) is the given point

Plug in , , and

Distribute

Multiply

Subtract from both sides to isolate y

Make into equivalent fractions with equal denominators

Combine the fractions

Reduce any fractions

So the equation of the line that is parallel to and goes through (,) is

So here are the graphs of the equations and

graph of the given equation (red) and graph of the line (green) that is parallel to the given graph and goes through (,)

RELATED QUESTIONS
Write the equation of the line L satisfying the given geometric conditions. L has... (answered by stanbon)
Write the equation of the line L satisfying the given geometric conditions: L has y -... (answered by edjones)
Write the equation of the line L satisfying the given geometric conditions. L has... (answered by checkley71)
Write the equation of the line L satisfying the given geometric conditions. L has... (answered by Fombitz)
Write the equation of the line L satisfying the given geometric conditions. L has... (answered by checkley71)
Write the equation of the line L satisfying the given geometric conditions. L has... (answered by stanbon)
Please help me. What am I suppose to do? Write the equation of the line L satisfying the (answered by funmath)
Write the equation of the line L satisfying the given geometric conditions. L has... (answered by bmauger)
Write the equation of the line L satisfying the given geometric conditions: L has... (answered by venugopalramana)
write the equation of the line L satisfying the given geometric conditions. L has... (answered by stanbon)