Respuesta :

Hello from MrBillDoesMath!


Answer: line EF


Discussion:  Two lines, L1 and L2, with slopes m1 and m2 are perpendicular if

m1 * m2 = -1. In our case m1 = -1/3 so the slope of the perpendicular line is 3.

( 3 * (-1/3) = -1).  The line with slope 3 is rising as x gets larger.  The only line shown fitting this is line EF.  Note that line AB is "falling" as x increases so it can not possibly be the answer.


Regards, MrB

facundo3141592

We want to see which line is perpendicular to a line that has a slope of -1/3.

The correct option is line EF.

Let's see how to get that solution:

First, we know that two lines are perpendicular if the slope of one is equal to the opposite of the inverse of the opposite of the other.

Then a line perpendicular to one that has a slope of -1/3 must have a slope of 3.

Then we must see a line that for each increase of one unit on the horizontal axis, we must have an increase of 3 units on the vertical axis.

By looking at the attached image, we can see that the only line that meets this condition is the green line, then the correct option is:

Line EF.

If you want to learn more, you can read:

https://brainly.com/question/11064712

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