Question

What is the slope of OP

Answer 1

B

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:

`(1)/(2)(k)(k-2)=24\\k(k-2)=24*2\\k(k-2)=48`

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.