Respuesta :

kudzordzifrancis

Answer:

[tex]\frac{b-d}{a-c}[/tex]

Step-by-step explanation:

Let [tex](x_1,y_1)=A(a,b)[/tex] and [tex](x_2,y_2)=C(c,d)[/tex].

The slope of AC can be found using

[tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]

Substitute the variables to get;

[tex]m=\frac{b-d}{a-c}[/tex]

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 :

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

So, Slope of line Ac will be :

[tex]\text{Slope of AC = }\frac{b-d}{a-c}[/tex]

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

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