Respuesta :

The slope = difference in y-values / corresponding difference in x values

 =  0 - (-2) / (3-2)  = 2/1 = 2 Answer

Answer:  The slope of the given line is 2.

Step-by-step explanation:  We are given to find the slope of the line represented by the values in the following table :

x         10       2       3       7       20

y         14      -2       0       8        34  

We know that

the slope of a line passing through the points (a, b) and (c, d) is given by

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

From the table, we note that

the line passes through the points (2, -2) and (3, 0).

Therefore, the slope of the given line is

[tex]m=\dfrac{0-(-2)}{3-2}=\dfrac{2}{1}=2.[/tex]

Thus, the slope of the given line is 2.