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 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
1

−2
negative 2

2
2

−1
negative 1
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Answer 1

[AI-generated answer — Bot GPT 3.5]

The slope of the line can be determined using the formula: (y2 - y1) / (x2 - x1).

Taking the first two points (0, 0) and (2, -2):
(0 - (-2)) / (2 - 0) = 2 / 2 = 1

Taking the second two points (2, -2) and (4, -4):
(-2 - (-4)) / (2 - 4) = -2 / -2 = 1

Since the slope is consistent between all pairs of points, the slope of the line is 1.