Question
What is the slope of this line?
-3,-3 3,-5
-3,-3 3,-5
Answers
GPT-4o mini
To find the slope of the line that passes through the points \((-3, -3)\) and \((3, -5)\), you can use the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, \((x_1, y_1) = (-3, -3)\) and \((x_2, y_2) = (3, -5)\).
Substituting the values into the formula:
\[
m = \frac{-5 - (-3)}{3 - (-3)} = \frac{-5 + 3}{3 + 3} = \frac{-2}{6} = -\frac{1}{3}
\]
So, the slope of the line is \(-\frac{1}{3}\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, \((x_1, y_1) = (-3, -3)\) and \((x_2, y_2) = (3, -5)\).
Substituting the values into the formula:
\[
m = \frac{-5 - (-3)}{3 - (-3)} = \frac{-5 + 3}{3 + 3} = \frac{-2}{6} = -\frac{1}{3}
\]
So, the slope of the line is \(-\frac{1}{3}\).