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 2 comma negative 2 right parenthesis, left parenthesis 4 comma negative 4 right parenthesis, and left parenthesis 6 comma negative 6 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 0 comma negative 2 right parenthesis, and left parenthesis 2 comma negative 2 right parenthesis. The base is labeled as 2, and the perpendicular height on the left is labeled as 2. The second triangle is marked with a dashed line and has vertices with coordinates left parenthesis 2 comma negative 2 right parenthesis, left parenthesis 2 comma negative 6 right parenthesis, and left parenthesis 6 comma negative 6 right parenthesis. The base is labeled as 4, and the perpendicular height on the left is labeled as 4.
What is the slope of the line?
(1 point)
Responses
−1
negative 1
2
2
1
1
−2
1 answer
To find the slope of the line, we can use the formula for the slope \( m \), which is given by:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Using two points on the line, we can choose \( (0, 0) \) and \( (2, -2) \).
Substituting these coordinates into the slope formula:
\[ m = \frac{-2 - 0}{2 - 0} = \frac{-2}{2} = -1 \]
Therefore, the slope of the line is \( -1 \).
The correct response is:
−1 (negative 1)
