The slope of the line can be calculated using the coordinates of two points on the line. Let's use the points (0,0) and (6,-6).
The slope formula is: slope = (y2 - y1) / (x2 - x1)
For the points (0,0) and (6,-6), the values are:
y2 = -6, y1 = 0
x2 = 6, x1 = 0
Substitute the values into the formula:
slope = (-6 - 0) / (6 - 0)
slope = -6 / 6
slope = -1
Therefore, the slope of the line passing through the plotted points is -1.
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
negative 1
2
2
−2
negative 2
1
1 answer