The following table contains ordered pair solutions of a linear equation in two variables. Use the table to find the slope of the graph.
x y
-1 -3
3 5
-2 -5
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The slope is __ (Simplify your answer.)
OB. The slope is undefined.
To find the slope of the graph, we can use the formula:
slope = change in y / change in x
Let's choose two pairs of ordered pairs from the table:
Pair 1: (-1, -3)
Pair 2: (3, 5)
The change in y is: 5 - (-3) = 5 + 3 = 8
The change in x is: 3 - (-1) = 3 + 1 = 4
slope = 8/4 = 2
The slope of the graph is 2.
Therefore, the correct choice is:
OA. The slope is 2.