Question

What can you conclude about the slope of the values in the table? Check all that apply.
The slope is 3.
The slope is 0.
The slope is undefined.
The graph will be a horizontal line.
The graph will be a vertical line.
The graph will have a line with a positive slope.

Answer 1

Answer:

The slope is undefined.

The graph will be a vertical line.

Answer 2

The conclusion that can be drawn from the slope of the values given in the table is:

3. Slope is undefined.

5. Graph is a vertical line.

• First, let's determine the value of the slope by applying the slope formula using two points given from the table, say, (1000, 20) and (1000, 23):

Slope formula = $\frac{y_2 - y_1}{x_2 - x_1}$

• Let,

$(1000, 20) = (x_1, y_1)\\\\(1000, 23) = (x_2, y_2)$

• Substitute:

$slope(m)=\frac{23 - 20}{1,000 - 1,000}\\\\slope (m) =\frac{3}{0}$ (undefined)

• Zero cannot divide 3 hence, the slope is undefined.

• Slope that are vertical have rise but no run, thus, their slope is undefined.

(see attachment for image showing an example of how an undefined slope looks like on a graph.)

Therefore, the conclusion that can be drawn from the slope of values given in the table is:

3. Slope is undefined.

5. Graph is a vertical line.

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