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
-2 -10
3 10
-4 -18
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
The slope is_____
To find the slope of a linear equation, we can use the formula:
\(\text{slope} = \frac{{\text{change in } y}}{{\text{change in } x}}\)
Using the given ordered pair solutions, we can calculate the change in \(y\) and the change in \(x\) using any two of the points:
Using the first two points (-2, -10) and (3, 10), we have:
Change in \(y\) = \(10 - (-10) = 20\)
Change in \(x\) = \(3 - (-2) = 5\)
The slope is then:
\(\text{slope} = \frac{{\text{change in } y}}{{\text{change in } x}} = \frac{20}{5} = 4\)
So, the slope of the graph is 4.