Answer:
B
Step-by-step explanation:
Rotating 120
Answer:

Step-by-step explanation:
You need 2 things in order to solve this equation: a trig identity sheet and a unit circle.
You will find when you look on your trig identity sheet that

so we will make that replacement, getting everything in terms of sin:

Now we will get everything on one side of the equals sign, set it equal to 0, and solve it:

We can factor out the sin(theta), since it's common in both terms:

Because of the Zero Product Property, either
or

Look at the unit circle and find which values of theta have a sin ratio of 0 in the interval from 0 to 2pi. They are:

The next equation needs to first be solved for sin(theta):
so
and

Go back to your unit circle and find the values of theta where the sin is -1/2 in the interval. They are:

10,11,15 is not right triangle
30,40,50 is right triangle
9,13,16 is not right angel
16,30,34 is right triangle
6x+1 = 12x because the Z angles are the same
Solve this and you get:
1 = 12x - 6x => x = 1/6
To find the slope, use y2-y1/x2-x1
In this case, it is -7-3/4-(-1)
-10/5
-2/1
That is the same as -2, so the answer is -2