Question

Which statement correctly describes the slope of the linear function that is represented by the data in the table? x y 8 –8 8 –4 8 0 8 4 8 8 The slope is positive. The slope is negative. The slope is zero. There is no slope.

Answer 1

Answer:

Step-by-step explanation:

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

there is no slope.

Answer 2

Here, we are required to identify which statement correctly describes the slope of the linear function that is represented by the data in the table.

• The statement that correctly describes the slope of the linear function is; There is no slope.

While evaluating the slope of a linear function, it is important to consider two data points with corresponding values of x and y respectively.

In this case, we can consider data points 3 and 4 which have coordinates as given below;

• Data point 3: (8,0)
• Data point 4: (8,4)

The slope of a linear function is simply evaluated as the change in y per unit x. Mathematically;

• Slope, m = (y4 - y3)/(x4 - x3)

• m = (8 - 8)/(4 - 0)

• m = 0/4

Slope, m = undefined

Since, the slope, m is undefined, the statement that correctly describes the linear function is;

There is no slope.

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