SOLUTION: I need help in writing equations for lines that are parallel to a given line and passes through a given point. For example: 4y-5=2x ; (-3,-2)

Question 281612: I need help in writing equations for lines that are parallel to a given line and passes through a given point. For example:
4y-5=2x ; (-3,-2)
Found 2 solutions by josmiceli, Mathematicians:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
You have to get the equation into the
form , where = slope

Add to both sides

divide both sides by

Any line parallel to this line will have slope =
So far I have , and all I need is
The line must pass through (-3,-2), so I can just plug
these values in and solve for

Multiply both sides by

Add to both sides

The solution is
check:
does it go through (-3,-2)?

OK
Answer by Mathematicians(84) (Show Source): You can put this solution on YOUR website!

we need to find the slope from the above equation, in order to do that, we want to put it in:
form
add 5 to both sides
divide 4 on both sides

the coefficient of x is , so our slope is
From there, we can use this formula to find the equation of the line parallel to the point (-3,-2)
where lowercase y and x is from the point and m is slope.
distribute the 1/2
subtract 2 on both sides
final answer
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