R(–3, 4)
Step-by-step explanation:
Let Q(-9,8) and S(9,-4) be the given points and let R(x, y) divides QS in the ratio 1:2.
By section formula,
Here,
Substituting this in the section formula
To simplifying the expression, we get
⇒ R(x,y) = R(–3,4)
Hence, the coordinates of point R is (–3, 4).
Check the picture below.
let's recall that once we move an angle in the opposite direction of the 0-line or x-axis, we end up with a negative counterpart angle.
since we know that θ is on the IV Quadrant, then its negative counterpart must be across the line, and tangent is negative on the IV Quadrant, and positive on the I Quadrant.
First, we can see that there are four sides, and none of these equation contradict each other, so it is safe to say that <em>this is a quadrilateral</em>.
Second, all of the equations have the slope of <em>0 or undefined</em>, so it is a rectangle.
Lastly, the four points of intersection shows us that the side lengths are <em>3 and 5</em> units, so the area of it is 15 units².
