Determine whether each given pair of endpoints lies on the same horizontal or vertical line. If so, find the length of the line segment that joins the pair of points.
If not, explain how you know the points are not on the same horizontal or vertical line.
(0,−2) and (0, 9). Do not include units in your answer.

They end up on the same vertical line. The length between them is 11 units if your looking on a graph.

Step-by-step explanation:

You can also answer this without a graph by looking at the x and y units for each pair. Since both points both have x as 0 you can know they will be on the same vertical line which for this question is zero. Then to find the length between each point just count up from -2. -2, -1, 0, 1 etc. That's the easiest way for my brain to comprehend it at least.

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

-6 is the correct option from the above given options