SOLUTION: Write the equation of the L satisfying the given geometric conditions. L passes through point (-4,3) and is parallel to the line equation y=2x+1

Question 117783: Write the equation of the L satisfying the given geometric conditions.
L passes through point (-4,3) and is parallel to the line equation y=2x+1
Found 2 solutions by jim_thompson5910, Fombitz:
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 (-4,3), 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

Add to both sides to isolate y

Combine like terms

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 (,)

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Here is the graph of your original line, y=2x+1, and the point of interest.

Parallel lines have the same slope.
Use the point slope form of a line.

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