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

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


   



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) About Me  (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) About Me  (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 = 2%2A%28-4%29+%2B+b | Using Pt(-4,1) to find b
9 = b
y = 2x + 9