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## Consider the line x+5y=6 What is the slope of a line perpendicular to this line? What is the slope of a line parallel to t

Question

Consider the line x+5y=6

What is the slope of a line perpendicular to this line?

What is the slope of a line parallel to this line?

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Mathematics
3 years
2021-07-26T10:09:22+00:00
2021-07-26T10:09:22+00:00 1 Answers
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## Answers ( )

Answer:is perpendicular to and parallel to

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) –>

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).

is perpendicular to 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.

is parallel to just like .