Question
A graph has a line passing through the points left parenthesis negative 5 comma 4 right parenthesis and left parenthesis 5 comma 0 right parenthesis.
Use the graph to answer the question.
Find the slope of the line.
(1 point)
Responses
−25
- 2 5
−52
- 5 2
25
2 5
52
5 2
Use the graph to answer the question.
Find the slope of the line.
(1 point)
Responses
−25
- 2 5
−52
- 5 2
25
2 5
52
5 2
Answers
GPT-4o mini
To find the slope of the line passing through the points \((-5, 4)\) and \((5, 0)\), we use the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Where \((x_1, y_1) = (-5, 4)\) and \((x_2, y_2) = (5, 0)\).
Substitute the values into the formula:
\[
m = \frac{0 - 4}{5 - (-5)} = \frac{0 - 4}{5 + 5} = \frac{-4}{10} = -\frac{2}{5}
\]
Therefore, the slope of the line is \(-\frac{2}{5}\).
So the correct response is:
**- 2 5**
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Where \((x_1, y_1) = (-5, 4)\) and \((x_2, y_2) = (5, 0)\).
Substitute the values into the formula:
\[
m = \frac{0 - 4}{5 - (-5)} = \frac{0 - 4}{5 + 5} = \frac{-4}{10} = -\frac{2}{5}
\]
Therefore, the slope of the line is \(-\frac{2}{5}\).
So the correct response is:
**- 2 5**