The slope of the line that goes through (−3, −5) and (−3, −6) is ______.
A. positive
B.
negative
C. zero
D.
undefined
D. undefined.
The slope of a line is calculated as the difference in y-coordinates divided by the difference in x-coordinates between two points on the line. In this case, both points have the same x-coordinate (-3), so the difference in x-coordinates is 0. Dividing by 0 is undefined, so the slope is also undefined.
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 can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
In this case, the two points are (-3, -5) and (-3, -6). Plugging in the coordinates into the formula, we get:
m = (-6 - (-5)) / (-3 - (-3))
= (-6 + 5) / (-3 + 3)
= -1 / 0
Since we have a division by zero, the slope is undefined.