SOLUTION: Here is the actual question write an equation of the line containing the given point and parallel to the given line. Express answer as y=mx+b. it is from my foundations lab that I

Algebra ->  Linear-equations -> SOLUTION: Here is the actual question write an equation of the line containing the given point and parallel to the given line. Express answer as y=mx+b. it is from my foundations lab that I       Log On


   



Question 852237: Here is the actual question write an equation of the line containing the given point and parallel to the given line. Express answer as y=mx+b. it is from my foundations lab that I am using in school.
Here is the problem: (-10,8), 7x-5y=2. I get almost all the way to the bottom and here is my issue:
Y-8=(7/5) x+10......it says remove parentheses and simplify
Y-8=7/5x+14..... It says last step, add 8 to both sides. how did they get the 14??? I just can not get it!
Answer: y-7/5x+22......this is the resulting answer

Found 3 solutions by stanbon, Fombitz, josh_jordan:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Here is the problem: (-10,8), 7x-5y=2. I get almost all the way to the bottom and here is my issue:
Y-8=(7/5)(x + 10)......it says remove parentheses and simplify
y-8 = (7/5)x + (7/5)10
y-8 = (7/4)x + 7*2
Y-8= (7/5)x+14
----------------------
Add 8 to both sides to get::
Answer: y = (7/5)x+22......this is the resulting answer
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Cheers,
Stan H.
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Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
OK, you left the parallel part out last time.
7x-5y=2
Find the slope,
5y=7x-2
y=%287%2F5%29x-2%2F5
m=%287%2F5%29
SO far so good.
Use the point slope form of a line,
y-8=%287%2F5%29%28x-%28-10%29%29
y-8=%287%2F5%29%28x%2B10%29
y-8=%287%2F5%29x%2B70%2F5
y-8=%287%2F5%29x%2B14<--- 14=70/5
y=%287%2F5%29x%2B14%2B8
y=%287%2F5%29x%2B22

Answer by josh_jordan(263) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,

y - 8 = (7/5)x + 10, should actually be written as

y - 8 = 7/5(x + 10)

Now, multiply 7/5 by x + 10. This will give you:

y - 8 = 7/5(x) + 14

Add 8 to both sides, which will give you:

y+=+%287%2F5%29x+%2B+22, which is the correct answer.