Question

drag and drop the slope of each table in the white rectangles. not all choices will be used. a b c d e f

Explanation:

Step1: Recall the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Step2: Calculate the slope for table A

Take two points from table A, say \((0,0)\) and \((8,7)\). Then \(m=\frac{7 - 0}{8 - 0}=\frac{7}{8}\).

Step3: Calculate the slope for table B

Take two points from table B, say \((0,4)\) and \((5,-41)\). Then \(m=\frac{-41 - 4}{5 - 0}=\frac{-45}{5}=-9\).

Step4: Calculate the slope for table C

Take two points from table C, say \((0,0)\) and \((0.5,7.5)\). Then \(m=\frac{7.5 - 0}{0.5 - 0}=15\).

Step5: Calculate the slope for table D

Take two points from table D, say \((-4,4)\) and \((-2,5)\). Then \(m=\frac{5 - 4}{-2-(-4)}=\frac{1}{2}\).

Step6: Calculate the slope for table E

Take two points from table E, say \((0,-2)\) and \((5,-6)\). Then \(m=\frac{-6-(-2)}{5 - 0}=\frac{-4}{5}\).

Step7: Calculate the slope for table F

Take two points from table F, say \((0,3)\) and \((1,3)\). Then \(m=\frac{3 - 3}{1 - 0}=0\).

Answer:

A: \(\frac{7}{8}\)
B: \(-9\)
C: \(15\)
D: \(\frac{1}{2}\)
E: \(-\frac{4}{5}\)
F: \(0\)