The following table contains ordered pair solutions of a linear equation in two variables. Use the table to find the slope of the graph.

Question

x

y


negative 2

negative 10

3

10

negative 4

negative 18

Question content area bottom
Part 1
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

a. The slope is___

B. The slope is undefined.

Answer 1

To find the slope of the graph, we use the formula for slope:

slope = (change in y) / (change in x)

Looking at the given table, we can see that the change in x is always 1, as the x-values increase by 1 each time.

First, let's find the change in y for the ordered pair (-2, -10) and (3, 10):

change in y = y₂ - y₁
= 10 - (-10)
= 20

So, the change in y is 20.

Now, let's find the change in y for the ordered pair (-4, -18) and (-2, -10):

change in y = y₂ - y₁
= (-10) - (-18)
= 8

So, the change in y is 8.

Since the change in x is always 1, the slope is given by:

slope = (change in y) / (change in x)
= (20 + 8) / (1)
= 28

Therefore, the slope of the graph is 28.

The correct choice is: a. The slope is 28.