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Question 647346: Write an equation of the line that contains (7, -2) and is parallel to 2x-5y=8. Please explain how you came to the answer. Thank you.
I know that you need to find the slope and then plug in (7, -2), but I don't know how 2x-5y=8 fits into the equation.
Answer by htmentor(1343)   (Show Source):
You can put this solution on YOUR website! Parallel lines have the same slope.
To determine the slope of the line, first put in standard form:
2x - 5y = 8
5y = 2x - 8
y = (2/5)x - 8/5
So the line we want has the form y = (2/5)x + b
To find b, use the point (x,y) = (7,-2)
-2 = (2/5)7 + b
b = -24/5
So the equation is y = (2/5)x - 24/5
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