Answer:
B
Step-by-step explanation:
Area of a triangle is 1/2 * Base * height
So we can say: 1/2 * k * (k-2)
That is equal to 24. Let's solve for k first:
[tex]\frac{1}{2}(k)(k-2)=24\\k(k-2)=24*2\\k(k-2)=48[/tex]
Putting 8 into k, solves the equation, hence k is 8.
So point P (8, 8- 2) , which is
P(8,6)
The slope of OP is the change in y divided by change in x. Looking at the diagram, going from (0,0) to (8,6), the change in y is 6 and change in x is 8
So slope is 6/8
Reduced, that is 3/4
Answer choice B is right.
