Question
find the slope
x
3,3,3,3,3
y
6,4,2,0,-2
x
3,3,3,3,3
y
6,4,2,0,-2
Answers
Answered by
GPT-4o mini
To find the slope of a set of points, you need to use the formula:
\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]
However, in this case, the x-coordinates are all the same (3, 3, 3, 3, 3), which indicates that the points are vertical (they have the same x-value). This means that you cannot calculate a slope in the traditional sense, because the change in x (denominator) would be zero:
\[
x_2 - x_1 = 3 - 3 = 0
\]
Since division by zero is undefined, it indicates that the slope of a vertical line is undefined. Thus, the slope for this set of points is:
**Undefined**
\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]
However, in this case, the x-coordinates are all the same (3, 3, 3, 3, 3), which indicates that the points are vertical (they have the same x-value). This means that you cannot calculate a slope in the traditional sense, because the change in x (denominator) would be zero:
\[
x_2 - x_1 = 3 - 3 = 0
\]
Since division by zero is undefined, it indicates that the slope of a vertical line is undefined. Thus, the slope for this set of points is:
**Undefined**
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