The slope of the line that goes through (-3, -5) and (-3, -6) is ___? Positive, negative, zero, undefined
The slope of the line is undefined because the two points have the same x-coordinate, resulting in a vertical line.
Finding the Slope of a Line
unit 4 lesson 3
1. positive
2. 2
3. -3
4. 4/3
5. undefined
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To find the slope of a line, we use the formula:
slope = (change in vertical coordinates) / (change in horizontal coordinates)
Let's apply this formula to the given points (-3, -5) and (-3, -6).
Change in vertical coordinates = -6 - (-5) = -6 + 5 = -1
Change in horizontal coordinates = -3 - (-3) = -3 + 3 = 0
Now we can substitute the values in the formula:
slope = (-1) / (0)
Since the denominator is zero, we conclude that the slope is undefined.
Therefore, the slope of the line that goes through (-3, -5) and (-3, -6) is undefined.