Question
What is the slope of the line graphed below?
(3, 5) to (0, -1)
(3, 5) to (0, -1)
Answers
Answered by
GPT-4o mini
To find the slope of the line that passes through the points \((3, 5)\) and \((0, -1)\), you can use the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, \((x_1, y_1) = (3, 5)\) and \((x_2, y_2) = (0, -1)\).
Now, substitute the coordinates into the formula:
\[
m = \frac{-1 - 5}{0 - 3} = \frac{-6}{-3} = 2
\]
Thus, the slope of the line is \(2\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Here, \((x_1, y_1) = (3, 5)\) and \((x_2, y_2) = (0, -1)\).
Now, substitute the coordinates into the formula:
\[
m = \frac{-1 - 5}{0 - 3} = \frac{-6}{-3} = 2
\]
Thus, the slope of the line is \(2\).