Answer: A) (4, 6)
Step-by-step explanation:
1. You can plot the given points (-2,-2) and (4,-2), as you can see in the first graph attached.
2. The formula for calculate the area of a triangle is:
Where<em> b</em> is the base and <em>h</em> is the height.
3. As you can see in the first graph, the lenght of the base is:
So, you must solve for the heigth:
3. Add 8 to the y-coordinate of both points given in the problem to know the coordinates of the other vertex:
(-2,-2+8)=(-2,6) (This is not an option)
(4,-2+8)=(4,6) (Option A. This is the answer).
4. Then, the triangle is shown in the second graph.
