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Luba_88 [7]
2 years ago
13

Consider the line x+5y=6

Mathematics
1 answer:
Tems11 [23]2 years ago
6 0

Answer:

x + 5y = 6 is perpendicular to y = 5x + \frac{6}{5} and parallel to y = -\frac{1}{5}x + 2\\

Step-by-step explanation:

First, convert the equation to standard form so that y is isolated.

x + 5y = 6 --> x - 6 = -5y (divide both sides by -5) --> y = -\frac{1}{5}x + \frac{6}{5}

A perpendicular line will have a slope that is the opposite reciprocal of the original slope (meaning you flip the numerator and denominator then make it negative).

-\frac{1}{5} is perpendicular to -(\frac{-5}{1} ) which simplifies to 5.

A parallel line will have the same slope, but the y-intercept will be different. It can be pretty much any number as long as the original slope is used in the new equation.

y = -\frac{1}{5}x + \frac{6}{5}\\ is parallel to y = -\frac{1}{5}x + 2\\ just like y = -\frac{1}{5}x - \frac{100}{23}.

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Answer:

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Step-by-step explanation:

1- 6-x=9 Place the terms on the correct side; always place terms with x on the left hand side and the others on the right hand side. (when placing on the other side convert from + to - or reversed) (the 6- converted to 6+)

2- x= 6+9= 15 Now work out the sum.

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3 years ago
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