What must be true to prove that q ⊥ n?

a. the slope of q must be the reciprocal of the slope of n.
b. the slope of q must be the negative reciprocal of the slope of n.
c. the slope of q must be the slope of n multiplied by –1.
d. the slope of q must be the slope of n multiplied by –1n.

We need to find the true statement among the given statements.

The correct option is B. The slope of q must be the negative reciprocal of the slope of n.

It is given that

For two lines to be perpendicular the product of the slopes is

Let be the slope of and be the slope of .

So, if

So, The slope of q must be the negative reciprocal of the slope of n.

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B

Step-by-step explanation:

TO prove that q is perpendicular to n they must have a slope that's an opposite reciprocal to each other. For example the slope for q could be -5 first you must flip the equation so now its -1/5 then you change the sign to positive so now it's 1/5. Opposite meaning change sign reciprocal meaning flip the fraction.