The change in x is 0, the slope is undefined. This means the line is vertical.
To find the slope of the line from the table, we can use the following formula:
Slope = (Change in y) / (Change in x)
Here's how to find the slope step-by-step:
Pick any two points from the table.
Write them as coordinate pairs in the form (x1, y1) and (x2, y2).
Substitute the values into the slope formula:
Slope = (y2 - y1) / (x2 - x1)
In this case, you can choose any two points from the table. Let's choose the first and second points:
Point 1: (5, -12)
Point 2: (5, -9)
Substitute the values into the formula:
Slope = (-9 - (-12)) / (5 - 5)
Slope = 3 / 0
As the change in x is 0, the slope is undefined. This means the line is vertical.
Complete question:
The points in the table lie on a line. How can you find the slope of the line from the table? What is the slope?
X Y
5 -12
5 -9
5 -6
5 -3