122. write the equation of the line that is
perpendicular to y = x-5 and passes through
the point (12,-1).

When a line is given in the form

The slope of the line is m. So, in this case, the slope of is 1.

Given a slope , you find the slope of a perpendicular line by imposing

So, if the given line has slope 1, a perpendicular line has slope given by

and thus

So, we want a line with slope -1 and passing through (12,-1). Using the fomula

we get

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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