SOLUTION: how do write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of each equation

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Question 253605: how do write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of each equation
Found 2 solutions by jim_thompson5910, richwmiller:
Answer by jim_thompson5910(35256) About Me  (Show Source):
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Answer by richwmiller(17219) About Me  (Show Source):
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y=mx+b is the slope intercept form
m=slope and b = y intercept when x=0
parallel lines have the same slope
so put the equation in this form and extract m
then take that slope and insert it in y=mx+b
y=Mx+b
substitute the X and Y of the point into the equation and solve for b
Y=MX+b
then insert new numbers for m and b
in y=mx+b
and there you have it