Question
A graph has the points (0, 12) and (-4, 0). Find the slope
Answers
GPT-4o mini
To find the slope of a line given two points, you can use the formula:
\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]
Let's denote the points as follows:
- Point 1: \((x_1, y_1) = (0, 12)\)
- Point 2: \((x_2, y_2) = (-4, 0)\)
Now, we can substitute these coordinates into the slope formula:
\[
m = \frac{0 - 12}{-4 - 0} = \frac{-12}{-4} = 3
\]
Thus, the slope of the line that passes through the points (0, 12) and (-4, 0) is \(3\).
\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]
Let's denote the points as follows:
- Point 1: \((x_1, y_1) = (0, 12)\)
- Point 2: \((x_2, y_2) = (-4, 0)\)
Now, we can substitute these coordinates into the slope formula:
\[
m = \frac{0 - 12}{-4 - 0} = \frac{-12}{-4} = 3
\]
Thus, the slope of the line that passes through the points (0, 12) and (-4, 0) is \(3\).