Question
What is the slope of this line? (-4,-4) (0,-6)
Answers
GPT-4o mini
To find the slope of a line given two points, you can use the formula:
\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]
For the points \((-4, -4)\) and \((0, -6)\), we can assign:
- \( (x_1, y_1) = (-4, -4) \)
- \( (x_2, y_2) = (0, -6) \)
Now, substitute these values into the formula:
\[
m = \frac{-6 - (-4)}{0 - (-4)} = \frac{-6 + 4}{0 + 4} = \frac{-2}{4} = -\frac{1}{2}
\]
Therefore, the slope of the line is \(-\frac{1}{2}\).
\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]
For the points \((-4, -4)\) and \((0, -6)\), we can assign:
- \( (x_1, y_1) = (-4, -4) \)
- \( (x_2, y_2) = (0, -6) \)
Now, substitute these values into the formula:
\[
m = \frac{-6 - (-4)}{0 - (-4)} = \frac{-6 + 4}{0 + 4} = \frac{-2}{4} = -\frac{1}{2}
\]
Therefore, the slope of the line is \(-\frac{1}{2}\).