Question

Which statement correctly describes the slope of the linear function that is represented by the data in the table?

Table (It may move to the left a bit when it is actually posted, sorry. It shouldn't be hard to read though)

x y
8 -8
8 -4
8 0
8 4
8 8

a.The slope is positive.
b.The slope is negative.
c.The slope is zero.
d.There is no slope.

Answer 1

slope=change in y/change in x

one way is t pick 2 points, (x1,y1) and (x2,y2)
the slope is (y2-y1)/(x2-x1)

pick some points
(8,4) and (8,0)
slope=(0-4)/(8-8)=-4/0=undefined
the slope is undefined
so you could say there is no solpe


answer is D

Answer 2

Answer: d. There is no slope.

Explanation:

We know that slope =
`=\frac{\text{change in y coordinate}}{\text{change in x coordinate}}`

For the given table, since there is no change in x coordinate .

Thus the change in x coordinate is 0.

Therefore, slope=
`=\frac{\text{change in y coordinate}}{0}=\infty`

which means the slope does not exist.

Hence, (d) is the right option. There is no slope.