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.
(8,9); x+7y=2
y=
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-> 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.
(8,9); x+7y=2
y=
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Question 448767: 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.
(8,9); x+7y=2
y= Found 2 solutions by mananth, ikleyn:Answer by mananth(16949) (Show Source):
You can put this solution on YOUR website! x+7y=2
Find the slope of this line
7y=-1x+ 2
Divide by 7
y =-0.14x+0.29
Compare this equation with y=mx+b
slope m = -0.14
The slope of a line parallel to the above line will be the same
The slope of the required line will be -0.14
m= -0.14 ,point (8,9)
Find b by plugging the values of m & the point in
y=mx+b
9=-1.14+b
b=10.14
m=-0.14
Plug value of the slope and b
The required equation is y=-0.14x+10.14
You can put this solution on YOUR website! .
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.
(8,9); x+7y=2
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The solution in the post by @mananth is INCORRECT.
See my correct solution below.
The original equation/line is
x + 7y = 2
Find the slope of this line
7y = -1x + 2
Divide by 7
y = + .
The slope is m = .
The slope of a line parallel to the above line will be the same
The slope of the required line will be . <<<---=== not -0.14, as @mananth mistakenly states !
m= , point (8,9)
Find b by plugging the values of m & the point in
y = mx + b
9 = + b
b = 10
m =
Plug value of the slope and b
The required equation is y = + 10. ANSWER
Solved.
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Not only this particular problem is solved incorrectly by @mananth.
Many other similar problems were solved incorrectly by @mananth.
Incorrectly solved are ALL similar problem, where coefficients of linear equations
are / (should be) rational numbers, which can not be presented as finite decimal fractions.
Then @mananth, by applying his incorrect algorithm of rounding, makes everything wrong.
