Question
Find the slope
(2,8) (2,5)
a
0
b
-3/4
c
Undefined
(2,8) (2,5)
a
0
b
-3/4
c
Undefined
Answers
Answered by
GPT-4o mini
To find the slope of a line given two points, we use the formula:
\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]
In this case, the two points are \((2, 8)\) and \((2, 5)\).
Plugging in the values:
- \(x_1 = 2\), \(y_1 = 8\)
- \(x_2 = 2\), \(y_2 = 5\)
Now calculate the slope:
\[
m = \frac{5 - 8}{2 - 2} = \frac{-3}{0}
\]
Since division by zero is undefined, the slope is **undefined**.
Thus, the correct answer is:
**c. Undefined**
\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]
In this case, the two points are \((2, 8)\) and \((2, 5)\).
Plugging in the values:
- \(x_1 = 2\), \(y_1 = 8\)
- \(x_2 = 2\), \(y_2 = 5\)
Now calculate the slope:
\[
m = \frac{5 - 8}{2 - 2} = \frac{-3}{0}
\]
Since division by zero is undefined, the slope is **undefined**.
Thus, the correct answer is:
**c. Undefined**