SOLUTION: I am supposed to write the equation of the line that is parallel to the given line and passes through the given point. I am stuck. this is what I have. Here is the equation y=x

Question 122156: I am supposed to write the equation of the line that is parallel to the given line and passes through the given point. I am stuck. this is what I have.
Here is the equation
y=x - 3(1,-1)
Here is what I have
y=mx + b
-1=1 - 3
-1=-2
-1 + 2=-2 +2

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let's find the equation of the line that is parallel to and goes through (1,-1)

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 (1,-1), 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

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 (,)

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