Slope = (0 - 6)/(4 - 0) = -6/4 = -3/2
Part 1
We want to find the tan of 88 degrees, 22' 45''.
88° 22' 45''
= 88 + 22/60 + 45/3600 degrees
= 88.3792°
From the calculator, obtain
tan(88.3792°) = 35.3409
Answer: 35.3409
Part 2
We want to find cot(36°).
By definition, cot(x) = 1/tan(x).
From the calculator, obtain
tan(36°) = 0.7265
Therefore
cot(36°) = 1/0.7265 = 1.3764
Answer: 1.3764
We could do it by first writing

so that

and since
, we have

# # #
Alternatively, we can just compute the product and take it mod 4:

and so we get the same result of 1.
Answer:
y = 7/3 x + 2
Step-by-step explanation:
y = mx+b is the slope intercept form of a line
where m is the slope and b is the y intercept
Substituting in what we know
y = 7/3 x + 2