SOLUTION: Tutor could you please explain how to do this problem for me? Write the equation of the line L satisfying the given geometric condistions. 36. L has y-intercept (0,-3) an

Question 90411This question is from textbook Beginning Algebra
: Tutor could you please explain how to do this problem for me?
Write the equation of the line L satisfying the given geometric condistions.
36. L has y-intercept (0,-3) and is parallel to the line with equation y=2/3 x+1.
I have come up with y=2/3 x + -3 but I do not think this is correct. Any help you can provide with be great. Thanks. This question is from textbook Beginning Algebra

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 (,)

So you are correct
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