Respuesta :

Your answer is the first option, (9 - 5)/(4 - 0).
This is because the formula to finding the slope of a line is (y2 - y1)/(x2 - x1), and the first option has the two y coordinates subtracting and the two x coordinates subtracting.
I hope this helps!

Answer:

A. [tex]\frac{9-5}{4-0}[/tex]

Step-by-step explanation:

We know that,

The slope of the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

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

Now, from the table, the ordered pairs of the form (x,y) are (0,5) and (4,9)

Thus, the slope of these points is given by,

[tex]Slope=\frac{9-5}{4-0}[/tex]

Hence, option A is correct.

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