SOLUTION: Write an equation of the line that is parallel to the given line y = 2x + 3 and the given point (-4,1).

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Question 627628: Write an equation of the line that is parallel to the given line
y = 2x + 3 and the given point (-4,1).
Found 2 solutions by solver91311, ewatrrr:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The given equation is in slope-intercept form, therefore the slope of the graph of the given equation can be determined by inspection of the coefficient on . Parallel lines have equal slopes.

Use the point-slope form of an equation of a line to derive the desired equation:



where are the coordinates of the given point and is the slope of the graph of the given equation.

John

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Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

 Write an equation of the line passing thru pt(-4,1) that is parallel to the y = 2x + 3  ( m = 2)

New Line: parallel lines have the same slope

 y = 2x + b

 1 =    | Using Pt(-4,1) to find b

 9 = b

y = 2x + 9





 

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