SOLUTION: I am having a very hard time solving these types of questions and have spent the last two hours on one question and each time I get it wrong it gives me a new one to solve and I ke

Question 393909: I am having a very hard time solving these types of questions and have spent the last two hours on one question and each time I get it wrong it gives me a new one to solve and I keep getting them wrong. Please help me understand what it is I am not doing correctly. Thank you.
I need to find the equation of the line containing the given point and parallel to the given line. Use y=mx+b form

Here is one of the questions
(7,9) x+6y=7
I know I then have to put it into y-y=m(x-x) form but when the x or y is by itself I do not know what to do.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Step 1. Determine the slope of the given line. Your given equation is in standard form, so the slope of the line represented by this equation is the negative of the coefficient on x divided by the coefficient on y. Since the slope of parallel lines are equal, once you have determined the slope of the given line, you have the slope of all lines parallel to it.

Step 2. Use the point-slope form of an equation of a line:

where

are the coordinates of the given point and

is the calculated slope.

Once you have inserted all of the values, solve the equation for y in terms of everything else to put the equation into slope intercept form,

John

My calculator said it, I believe it, that settles it

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