Question

Use the image to answer the question.

An illustration shows a coordinate plane with the x-axis ranging from negative 9 to 9 in one unit increments, and the y-axis ranging from negative 11 to 11 in one unit increments. A solid line passes through four plotted points and extends beyond. A solid line with arrows at both ends passes through points with coordinates left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma negative 3 right parenthesis, left parenthesis 2 comma negative 6 right parenthesis, and left parenthesis 3 comma negative 9 right parenthesis. The solid line forms the hypotenuse for two triangles. The first triangle is marked with a dotted line and has vertices with coordinates left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 0 right parenthesis, and left parenthesis 1 comma negative 3 right parenthesis. The base is labeled as 1, and the perpendicular height on the right is labeled as 3. The second triangle is marked with a dashed line and has vertices with coordinates left parenthesis 1 comma negative 3 right parenthesis, left parenthesis 3 comma negative 3 right parenthesis, and left parenthesis 3 comma negative 9 right parenthesis. The base is labeled as 2, and the perpendicular height on the right is labeled as 6.

What is the slope of the line?

(1 point)
Responses

−6
negative 6

−1
negative 1

3
3

−3
negative 3
Remaining Attempts : 3
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Answer 1

To find the slope of the line that passes through the points \( (0, 0) \) and \( (1, -3) \), we can use the formula for slope, which is:

\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]

Using the points \( (0, 0) \) and \( (1, -3) \):

- \( (x_1, y_1) = (0, 0) \)
- \( (x_2, y_2) = (1, -3) \)

Plugging in these values:

\[
\text{slope} = \frac{-3 - 0}{1 - 0} = \frac{-3}{1} = -3
\]

Thus, the slope of the line is:

\[
\text{slope} = -3
\]

The correct response is:

**−3** (negative 3)