SOLUTION: hello my nam eis emerald and finals are tommorrow. my teacher gave me an answer sheet to the review, so i know the answer yet i dont know how to write it out and answer it can you

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Question 313034: hello my nam eis emerald and finals are tommorrow. my teacher gave me an answer sheet to the review, so i know the answer yet i dont know how to write it out and answer it can you help?
write the equation of the line that is parallel to the given line and passes through the given point.
y=-25x+9, (-1, -1).................the answer is y=-25x-26
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Step 1: Determine the slope of the desired line. In this case, you can simply do this by inspection. That is because parallel lines have equal slopes and your given line is in slope-intercept form, namely:

Hence, the slope of the given line, which is the same as the slope we need for the desired line is just the coefficient on

Step 2: Use the point-slope form of the equation of a line to write an equation of the desired line:

where are the coordinates of the given point and is the slope of the desired line. All you need do is plug in the numbers:

Step 3: The only thing left to do is to put this equation into slope-intercept form so that it matches the answer you gave.

Distribute across the parentheses in the RHS:

Add -1 to both sides:

Note that you cannot answer the question you asked exactly. That is because you wrote: "Write the equation of the line that is parallel..."

The reason you can't do that is because there is no such thing as the equation of a line. There are an infinite number of representations of any given line, so all you can do is to write an equation of the line you want.

Also, since you didn't specify the form of the answer, is not the only valid answer to this question. and are both equally valid answers to the question as you posed it.

John