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

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**

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