ANSWER
The correct answer is B.
EXPLANATION
We use the formula for finding the slope of a straight line which is given by
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
to find the slope each table or graph.
From the first table, the slope can be calculated using
[tex](3,-11) \: and \: (6,1)[/tex]
[tex]m = \frac{1 - - 11}{6 - 3} = 4[/tex]
From option B, the slope can be calculated using
[tex](8,5) \: and \: (0,3)[/tex]
[tex]m = \frac{5- 3}{8 - 0} = \frac{1}{4} [/tex]
From the third option, we can calculate the slope using
[tex](-5,32) \: and \: (-1,24)[/tex]
[tex]m = \frac{32 - 24}{ - 5 - - 1} = - \frac{3}{2} [/tex]
We can calculate the slope of the last option using
[tex](2,0) \: and \: (3,4) [/tex]
[tex]m = \frac{4 - 0}{3 - 2} = 4[/tex]
Therefore the correct answer is B.
