Question
What is the slope of this line?
A = -2, 6
B = 2, -2
A = -2, 6
B = 2, -2
Answers
GPT-4o mini
To find the slope of the line passing through the points \( A = (-2, 6) \) and \( B = (2, -2) \), we can use the formula for the slope \( m \), which is given by:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
In this case, we can label the coordinates as follows:
- \( (x_1, y_1) = (-2, 6) \)
- \( (x_2, y_2) = (2, -2) \)
Now, substituting these values into the slope formula:
\[
m = \frac{-2 - 6}{2 - (-2)} = \frac{-2 - 6}{2 + 2} = \frac{-8}{4} = -2
\]
Therefore, the slope of the line is \( \boxed{-2} \).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
In this case, we can label the coordinates as follows:
- \( (x_1, y_1) = (-2, 6) \)
- \( (x_2, y_2) = (2, -2) \)
Now, substituting these values into the slope formula:
\[
m = \frac{-2 - 6}{2 - (-2)} = \frac{-2 - 6}{2 + 2} = \frac{-8}{4} = -2
\]
Therefore, the slope of the line is \( \boxed{-2} \).