Question

What is the slope of AC?

Answer 1

The correct option for the answer for given problem is D.

Explanation:

The coordinates of point A are given to be : (a, b)

And the coordinates of point C are given to be : (c, d)

Now, we need to find the slope of the line AC :

Slope of any line is given by the formula :

`Slope=(y_2-y_1)/(x_2-x_1)`

So, Slope of line Ac will be :

`\text{Slope of AC = }(b-d)/(a-c)`

Therefore, The correct option for the answer for given problem is D.

Answer 2

`(b-d)/(a-c)`

Explanation:

Let
`(x_1,y_1)=A(a,b)` and
`(x_2,y_2)=C(c,d)`.

The slope of AC can be found using

`m=(y_1-y_2)/(x_1-x_2)`

Substitute the variables to get;

`m=(b-d)/(a-c)`