Question
What is the slope of this line? 1,4 -2,-2
Answers
GPT-4o mini
To find the slope of a line given two points, you can use the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.
In your case, the points are \((1, 4)\) and \((-2, -2)\):
- \((x_1, y_1) = (1, 4)\)
- \((x_2, y_2) = (-2, -2)\)
Now, plug in the values into the slope formula:
\[
m = \frac{-2 - 4}{-2 - 1} = \frac{-6}{-3} = 2
\]
So, the slope of the line is \(2\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.
In your case, the points are \((1, 4)\) and \((-2, -2)\):
- \((x_1, y_1) = (1, 4)\)
- \((x_2, y_2) = (-2, -2)\)
Now, plug in the values into the slope formula:
\[
m = \frac{-2 - 4}{-2 - 1} = \frac{-6}{-3} = 2
\]
So, the slope of the line is \(2\).