Question

Which lines are perpendicular to 3x – y = 10? Select all that apply. A. y = 3x + 5 B. y = –13x + 17 C. x + 3y = 27 D. y – 2 = 13(3x + 36)

Answer 1

The equation of the line which is perpendicular to 3x - y = 10 is y = -(1/3) x + c. Then the correct option is B.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The line that is perpendicular to 3x - y = 10.

The equation can be written as

y = 3x - 10

Then the slope of the line will be

m₁ = 3

Let m₂ be the slope of the second line.

The product of the slope of the perpendicular lines is a negative one.

m₁m₂ = -1

 3m₂ = -1

   m₂ = -1/3

Then the equation of the perpendicular line will be

       y = - (1/3)x + c

     3y = -x + c

x + 3y = c

where c is the constant.

Thus, the correct option is B.

More about the linear system link is given below.

brainly.com/question/20379472

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