Question
What is the slope of this line?
-6,0 -3,-3
-6,0 -3,-3
Answers
GPT-4o mini
To find the slope of the line that passes through the points \((-6, 0)\) and \((-3, -3)\), you can use the formula for the slope \(m\):
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, \((x_1, y_1) = (-6, 0)\) and \((x_2, y_2) = (-3, -3)\).
Now, substituting the values into the formula:
\[
m = \frac{-3 - 0}{-3 - (-6)} = \frac{-3}{-3 + 6} = \frac{-3}{3} = -1
\]
Therefore, the slope of the line is \(-1\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, \((x_1, y_1) = (-6, 0)\) and \((x_2, y_2) = (-3, -3)\).
Now, substituting the values into the formula:
\[
m = \frac{-3 - 0}{-3 - (-6)} = \frac{-3}{-3 + 6} = \frac{-3}{3} = -1
\]
Therefore, the slope of the line is \(-1\).