Question

What is the slope of AC?

Answer 1

Answer:

$\frac{b-d}{a-c}$

Step-by-step 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

$m=\frac{y_1-y_2}{x_1-x_2}$

Substitute the variables to get;

$m=\frac{b-d}{a-c}$

Answer 2

Answer:

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

Step-by-step 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 :

$Slope=\frac{y_2-y_1}{x_2-x_1}$

So, Slope of line Ac will be :

$\text{Slope of AC = }\frac{b-d}{a-c}$

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