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Which of the following lines is perpendicular to the line y=-3/5x+1?

A. 3x+5y=10


B.3x-5y=20


C.5x+3y=21


D.5x-3y=27

1 Answer

3 votes

Answer:

D. 5x -3y = 27

Explanation:

You want to identify the line that is perpendicular to y = -3/5x +1.

Perpendicular line

The answer choices are in standard form. This suggests it would be useful to write the equation of a perpendicular line in standard form.

One way to get the equation of a perpendicular line is to swap the x- and y-coefficients, and negate one of them. The y-coefficient in the given equation is 1, and the x-coefficient is -3/5. We can make the y-coefficient the opposite of -3/5 and the x-coefficient 1 to get ...

3/5y = x +c . . . . . for some constant c

Multiplying by 5 gives ...

3y = 5x + c . . . . . . for some other constant c

Subtracting 3y+c, we get ...

5x -3y = c . . . . . for some new constant c

So, we're looking for an answer choice in this form. We find it in choice D:

5x -3y = 27

Which of the following lines is perpendicular to the line y=-3/5x+1? A. 3x+5y=10 B-example-1
User Rishad Baniya
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