SOLUTION: write an equation of the line containing the given point and parallel to the given line. express your answer in the form f y=mx+b (6,9); x+3y=8

Algebra ->  Linear-equations -> SOLUTION: write an equation of the line containing the given point and parallel to the given line. express your answer in the form f y=mx+b (6,9); x+3y=8      Log On


   

Question 673811: write an equation of the line containing the given point and parallel to the given line. express your answer in the form f y=mx+b
(6,9); x+3y=8
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Given
x+3y = 8
3y = -x + 8
highlight%28y+=+%28-1%2F3%29x+%2B+%288%2F3%29%29
...
slope is -1%2F3, a parallel line will have the SAME slope
...
Using the point and slope in the point-slope formula
y - 9 = -1%2F3(x-6)
y - 9 = -1%2F3x + -1%2F3(-6)
y - 9 = -1%2F3x + 2
y = -1%2F3x + 2 + 9
highlight_green%28y=%28-1%2F3%29x%2B11%29
...
graph%28300%2C200%2C-5%2C20%2C-5%2C20%2C%28-1%2F3%29x%2B%288%2F3%29%2C+%28-1%2F3%29x%2B11%29
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-Reading Boosters
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