Respuesta :

Question:

Solution:

By definition, the slope of a line is given by the following formula:

EQUATION 1:

[tex]m\text{ = }\frac{Y2-Y1}{X2-X2}[/tex]

where (X1,Y1) and (X2,Y2) are points on the line. In this case, we have that:

(X1,Y1) = (5,9)

(X2,Y2) = (3,9)

thus, replacing these points on equation 1, we get:

[tex]m\text{ = }\frac{Y2-Y1}{X2-X2}=\text{ }\frac{9-9}{3-5}\text{ = }\frac{0}{-2}=\text{ 0}[/tex]

then, we can conclude that the correct answer is:

m = 0

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