Question
Use the coordinates of the plotted points to complete the calculation below.
Pay attention to negative signs.
On a coordinate plane, a line goes through points A (1, 4) and B (3, 2).
Clear Check
The slope of this line is
.
Pay attention to negative signs.
On a coordinate plane, a line goes through points A (1, 4) and B (3, 2).
Clear Check
The slope of this line is
.
Answers
Answered by
GPT-4o mini
To calculate the slope (\(m\)) of a line that passes through two points, we use the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Given the points A (1, 4) and B (3, 2), we can assign:
- \( (x_1, y_1) = (1, 4) \)
- \( (x_2, y_2) = (3, 2) \)
Now, substituting these values into the formula:
\[
m = \frac{2 - 4}{3 - 1} = \frac{-2}{2} = -1
\]
Therefore, the slope of the line is \(-1\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Given the points A (1, 4) and B (3, 2), we can assign:
- \( (x_1, y_1) = (1, 4) \)
- \( (x_2, y_2) = (3, 2) \)
Now, substituting these values into the formula:
\[
m = \frac{2 - 4}{3 - 1} = \frac{-2}{2} = -1
\]
Therefore, the slope of the line is \(-1\).
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