Question
what is the slope of the line (5,3) (-5,-3)
Answers
GPT-4o mini
To find the slope of the line that passes through the points \((5, 3)\) and \((-5, -3)\), you can use the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
where \((x_1, y_1) = (5, 3)\) and \((x_2, y_2) = (-5, -3)\).
Plugging in the values:
\[
m = \frac{-3 - 3}{-5 - 5} = \frac{-6}{-10} = \frac{6}{10} = \frac{3}{5}
\]
Thus, the slope of the line is \(\frac{3}{5}\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
where \((x_1, y_1) = (5, 3)\) and \((x_2, y_2) = (-5, -3)\).
Plugging in the values:
\[
m = \frac{-3 - 3}{-5 - 5} = \frac{-6}{-10} = \frac{6}{10} = \frac{3}{5}
\]
Thus, the slope of the line is \(\frac{3}{5}\).