The slope of a line is determined by the rise over run, which is the change in the y-coordinates divided by the change in the x-coordinates between two points on the line.
Given the points \((-4, 2)\), \((0, 0)\), and \((4, -2)\):
1. Look at the points \((0, 0)\) and \((4, -2)\):
- The change in \(y\) (rise): \(-2 - 0 = -2\)
- The change in \(x\) (run): \(4 - 0 = 4\)
So, the slope \(\frac{\text{rise}}{\text{run}} = \frac{-2}{4} = -\frac{1}{2}\).
Since the slope is \(-\frac{1}{2}\), it is **negative**.
Therefore, the word that describes the slope of the line is **negative**.
The graph of a linear function is shown.
A coordinate plane with a straight line passing through (negative 4, 2), (0, 0), and (4, negative 2).
Which word describes the slope of the line?
positive
negative
zero
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1 answer