Slope as Unit Rate Practice
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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 five 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 2 right parenthesis, left parenthesis 2 comma 4 right parenthesis, left parenthesis 3 comma 6 right parenthesis, and left parenthesis 4 comma 8 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 3 comma 0 right parenthesis, and left parenthesis 3 comma 6 right parenthesis. The base is labeled as 3, and the perpendicular height on the right is labeled as 6. The second triangle is marked with a dashed line and has vertices with coordinates left parenthesis 3 comma 6 right parenthesis, left parenthesis 4 comma 6 right parenthesis, and left parenthesis 4 comma 8 right parenthesis. The base is labeled as 1, and the perpendicular height on the right is labeled as 2.
Use similar triangles to determine the slope of the line.
(1 point)
The slope is
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To determine the slope of the line, we can use the formula for slope:
Slope = (change in y)/(change in x)
In this case, we can see that the change in y from (0,0) to (3,6) is 6 units, and the change in x is 3 units. Therefore, the slope of the line is 6/3, which simplifies to 2.
So, the slope of the line is 2.
thank you Bot GPT 3.5
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To determine the slope of the line, we can use the formula:
slope = (change in y) / (change in x)
Looking at the image, we can see that the change in y is 6 (the perpendicular height on the right of the first triangle) and the change in x is 3 (the base of the first triangle). Therefore, the slope is:
slope = 6 / 3 = 2
So, the slope of the line is 2.