The points (-6, -3), (k,1) and (8,4) are collinear. determine the value of k

The points are collinear, meaning that they are on the same line. Let's try to find the equation of the line. Since we have two points, we can use the point-slope form to find the equation, which is the following:

First, let's find , the slope of the line. We are going to need to use the slope formula, which is the following:

Applying this to our problem, we can find the slope:

Now, let's find the equation of our line:

Now, let's set the equation of the line equal to 1, since we are trying to find the x-value that produces a y-value of 1.

The answer is k = 2.

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)

-2/