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