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Explanation The slope of a line is a measure of how steep the line is. In this case, both 1.5 and 3/2 represent the same value, which is the slope of the line. Therefore, both answers are correct.
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2.
Find the slope of the line.
Explanation The slope of a line is a measure of how steep the line is. In this case, the slope is 1. This means that for every 1 unit increase in the x-coordinate, there is a 1 unit increase in the y-coordinate. The line has a constant slope of 1, which indicates that it is a straight line that rises 1 unit for every 1 unit it moves horizontally.
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3.
Find the slope of the line.
Explanation The given answer options (.5, 0.5, 1/2) all represent the same value, which is the slope of the line. The slope of a line is a measure of how steep the line is and is calculated by dividing the change in the y-coordinates by the change in the x-coordinates between two points on the line. In this case, all three answer options represent the slope of 1/2, indicating that for every 1 unit increase in the x-coordinate, the y-coordinate increases by 1/2.
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4.
Find the slope of the line.
Explanation The slope of a line is a measure of how steep the line is. In this case, the answer of 1 means that the line has a slope of 1. This indicates that for every increase of 1 unit in the x-direction, there is an increase of 1 unit in the y-direction. The line is neither steep nor flat, but has a moderate slope.
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5.
Find the slope of the line.
Explanation The answer choices provided are all possible representations of the slope of a line. The slope of a line is a measure of how steep the line is, and it is typically represented as a fraction or a decimal. In this case, the slope can be expressed as the fraction 3/8, the decimal 0.325, or the decimal 0.325 written with a leading zero. All three representations are correct and equivalent.
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6.
Find the slope of the line.
Explanation The answer options provided are all possible representations of the slope of a line. In mathematics, the slope of a line measures the steepness of the line and is represented by the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. The slope can be expressed as a fraction, decimal, or percentage. In this case, the slope is correctly represented as 3/5, .6, or 0.6.
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7.
Find the slope of the line.
Explanation The slope of a line represents the rate at which the line is changing. In this case, the given value of 8 does not provide enough information to determine the slope of the line. The slope of a line is typically represented by the ratio of the change in the y-coordinates to the change in the x-coordinates between two points on the line. Without any additional information or context, it is not possible to calculate the slope of the line.
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8.
Find the slope of the line.
Explanation The slope of a line is the ratio of the change in y-coordinates to the change in x-coordinates. In this case, the given line has a change in y-coordinates of 6 and a change in x-coordinates of 1. Therefore, the slope of the line is 6.
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9.
Find the slope of the line.
Explanation The given answer choices, 1/4, .25, and 0.25, all represent the same value. They are all equivalent decimal representations of the fraction 1/4. In the context of finding the slope of a line, the slope is a measure of how steep the line is. In this case, the slope is 1/4, which means that for every 1 unit increase in the x-coordinate, the y-coordinate increases by 1/4.
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10.
Find the slope of the line.
Explanation The given answers 1/5, 0.2, and 0.2 represent the slope of the line. The slope of a line represents the ratio of the vertical change to the horizontal change between any two points on the line. In this case, all three answers indicate a slope of 1/5 or 0.2, which means that for every 1 unit increase in the horizontal direction, the line will increase by 1/5 units vertically.
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11.
An
important property of every line is its steepness, or ________________.
Explanation The correct answer is "slope, its slope." The slope of a line refers to its steepness. It is a measure of how much the line rises or falls for each unit of horizontal distance. The slope is an essential characteristic of a line as it helps determine the direction and rate of change of the line.
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12.
You
can compute the slope of a line by using the slope _______________.
Explanation The slope of a line can be computed by using the slope formula. This formula involves calculating the difference in the y-coordinates of two points on the line, divided by the difference in the x-coordinates of the same two points. By using this formula, the slope of the line can be determined.
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13.
The
_______________ is the
vertical distance between two points.
Explanation The term "rise" refers to the vertical distance between two points. It is commonly used in various fields such as mathematics, physics, and engineering to describe the change in elevation or height between two points. The rise is a crucial measurement in determining slopes, gradients, and changes in vertical position. It helps to quantify the vertical movement or displacement between two points and is an essential concept in understanding and analyzing various phenomena and structures.
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14.
You can find the rise by _____________ the y-coordinate of the left
point from the y-coordinate
of the right point.
Explanation To find the rise, we need to calculate the difference between the y-coordinate of the left point and the y-coordinate of the right point. This can be done by subtracting the y-coordinate of the left point from the y-coordinate of the right point. Therefore, the correct answer is "subtracting" or "subtract".
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15.
The _____________ is the horizontal
distance between two points.
Explanation The term "run" refers to the horizontal distance between two points. It is commonly used in various fields such as mathematics, physics, and engineering to describe the length or span between two locations along a straight line on a horizontal plane. This measurement is important in determining the position, displacement, or distance covered in a specific direction.
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16.
You can find the run by subtracting the _____-coordinate of the left point from that of the right point.
Explanation The run can be found by subtracting the x-coordinate of the left point from that of the right point.
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