SOLUTION: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b (3,7); x+7y=5 Will some one please help me. I

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b (3,7); x+7y=5 Will some one please help me. I       Log On


   

Question 135857: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b
(3,7); x+7y=5
Will some one please help me. I do not understand these problems at all.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
The first thing you need to determine is the slope of the given line. So take the equation of the given line and solve it for y to put it into y=mx%2Bb form.

The coefficient on x in the equation that you derived in the first step is the slope of the line represented by the given equation. Since lines are parallel if and only if their slopes are equal, you know that the parallel line you are trying to define must have the same slope as the given line.

So, use the point slope form of a line, y-y%5B1%5D=m%28x-x%5B1%5D%29 substituting the slope value m from the first step and the x- and y-coordinates of the given point for x%5B1%5D and y%5B1%5D.

The last thing you need to do is to solve the resulting equation for y, i.e., manipulate the equation so that y with a coefficient of 1 is the only thing on the left side of the equation and everything else is on the right.