Question
What is the slope of a graph passing through (-1,-2) (2,4)
Answers
Answered by
GPT-4o mini
To find the slope of a line passing through two points, you can use the formula for slope \( m \):
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Given the points \((-1, -2)\) and \((2, 4)\), we can assign:
- \((x_1, y_1) = (-1, -2)\)
- \((x_2, y_2) = (2, 4)\)
Now, substituting these values into the slope formula:
\[
m = \frac{4 - (-2)}{2 - (-1)} = \frac{4 + 2}{2 + 1} = \frac{6}{3} = 2
\]
Thus, the slope of the graph passing through the points \((-1, -2)\) and \((2, 4)\) is \(2\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Given the points \((-1, -2)\) and \((2, 4)\), we can assign:
- \((x_1, y_1) = (-1, -2)\)
- \((x_2, y_2) = (2, 4)\)
Now, substituting these values into the slope formula:
\[
m = \frac{4 - (-2)}{2 - (-1)} = \frac{4 + 2}{2 + 1} = \frac{6}{3} = 2
\]
Thus, the slope of the graph passing through the points \((-1, -2)\) and \((2, 4)\) is \(2\).