SOLUTION: how do i solve this problem (2,-3) parallel to 3x=4y+5
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Question 221924: how do i solve this problem (2,-3) parallel to 3x=4y+5
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I presume you want an equation representing a graph that passes through the given point and is parallel to the graph of the given equation. You really should take the time to specify what it is you want when you ask a question rather than leaving it up to us to guess.
First use the fact that parallel lines have identical slopes, that is:
So, your first step is to solve the given equation for 
, putting the given equation into slope intercept form. The coefficient on 
will then be the slope of the given line.
Next, use the point-slope form of the equation of a line to derive a form of the desired equation:
)
Where 
is the slope you calculated in the first step and )
are the coordinates of the given point. Typically, you will then have to put the equation into some other form, such as standard form (
) or slope-intercept form (
), but you don't say so I can't guess.
John
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