The coordinates of point Q that is 2/3 of the way along the directed segment from R(-7,-2) to S(2,4) is 
Explanation :
the coordinates of point Q that is 2/3 of the way along the directed segment from R(-7,-2) to S(2,4)
Apply section formula to find coordinates of point Q

Ratio m:n is 2:3 and point R is (x1,y1) , point S is (x2,y2)
Substitute all the values inside the formula

The coordinates of point Q is 
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Answer:
6.2 units.
Step-by-step explanation:
We are given two angles and an opposite corresponding side. To solve for an unknown side, we can use the law of sines.

Cross multiplying and solving will get you this:

Which can simplify to:

Which putting into a calculator gets you:

So the line PR is 6.2 units long.
Y = -0.4x
1) It is a straight line
2) I passes through the origin (0,0), because the y-intercpet is 0.
3) The slope is negative, so it passes throuh II and III quadrants
4) The magnitude of the slope = 0.4
4) The angle of the line with the negative side of the x-axis is that whose tan is 0.4 => angle = 21.8 °
With all that information you can identify the graph, given that you didn't include the options.
Explanation
As you can see all the possible answers have the same form:

By looking at the picture you'll notice that the graph of g(x) has to pass through the point (2,1). Remember that the points in the graph of g(x) have the form (x,g(x)). Since (2,1) is part of the graph of g(x) then we have the following:

So let's evaluate the expression for g(x) that we wrote before at x=2. This way we'll obtain an equation for the number a:

Then we can divide both sides by 4:

Then we get:

Answer
Then the answer is option A.