Suppose theta represents a number of degrees of rotation and that sin(theta°) = −0.5. list six possible negative values
that theta can take.

Six angle which has the value -0.5 will be

-390 , -750, -1110, -1470, -1830, -2190      

Step-by-step explanation:

We have given that

So

Now we have to find the possible negative value of which has same value as -0.5

We know that after 360° angle will repeat itself

So angle will be -30 - 36 = -390

-390-360 = -750

-750-360 = -1110

-1110-360 = -1470

-1470-360= -1830

-1830-360 = - 2190

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c