D :)
Because the y values are the same, all we need to take into account is the difference in the length of the x values.
Answer:
-2
Step-by-step explanation:
Plug in the respected values for x and y.
Divide and get -2
<h3>
Answer: Choice B</h3>
Explanation:
Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.
Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.
Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.
Choice D is ruled out for similar reasoning as choice A. Recall that 
Step-by-step explanation:
Given
Slope (m) = -5
Point
(x1 , y1) = ( 6 , 3)
So the equation is
y - y1 = m ( x - x1)
y - 3 = -5 ( x - 6)
y - 3 = -5x +30
5x + y = 30 + 3
5x + y = 33
5x + y - 33= 0
Which is the required equation.
Hope it will help you :)