what does the slope of a straight line represent?
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In other words, the slope of the line tells us the rate of change of y relative to x. ... If the slope is zero, then the line is horizontal and y does not change at all (the equation of the line has the form y = c and y = c for all values of x.)
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The principle is that the slope of the line on a velocity-time graph reveals useful information about the acceleration of the object. If the acceleration is zero, then the slope is zero (i.e., a horizontal line). ... If the acceleration is negative, then the slope is negative (i.e., a downward sloping line).
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' When the 'rise' is zero, then the line is horizontal, or flat, and the slope of the line is zero. Put simply, a zero slope is perfectly flat in the horizontal direction. The equation of a line with zero slope will not have an x in it. It will look like 'y = something.
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In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".
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Zero slope means that the line is horizontal. ... No slope means that the line is vertical. Just like the line that makes the beginning of a “N” is vertical.
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The correct answer is the vertical change divided by the horizontal change between two points on a line. We can find the slope of a line on a graph by counting off the rise and the run between two points. If a line rises 4 units for every 1 unit that it runs, the slope is 4 divided by 1, or 4.
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The slope of a line is the rate of change of y with respect to x. The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line.
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Lesson Summary ' When the 'rise' is zero, then the line is horizontal, or flat, and the slope of the line is zero. Put simply, a zero slope is perfectly flat in the horizontal direction. The equation of a line with zero slope will not have an x in it. It will look like 'y = something.
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The slope of a line is the change in y produced by a 1 unit increase in x. For our example, the trend line would predict that if someone was 1-year older (x increases by 1), then they would be about 5.76 cm taller (y increases by 5.76).
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The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.
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The slope of a line is a characterization of it's 'inclination'. ... As alluded to in the first two paragraphs, a slope can be used to determine the relationship between two variables. If the slope is high, that means a tiny change in the variable x results to a huge change in the variable y.
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A horizontal line (a slope of zero) indicates that the object has zero acceleration and is moving at constant velocity. On a graph, if a line has positive slope, we say that the object has positive acceleration; if the line has negative slope, we say that the line has negative acceleration.
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The slope of a line can be thought of as 'rise over run. ' When the 'rise' is zero, then the line is horizontal, or flat, and the slope of the line is zero. Put simply, a zero slope is perfectly flat in the horizontal direction. The equation of a line with zero slope will not have an x in it.
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An undefined slope indicates that we have a vertical line parallel to the y-axis and passing through all points in the plane with an x-coordinate = constant ( c) The equation is written in the form x = c.
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so a "straight up and down" (vertical) line's Slope is "undefined".
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Explanation: Slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. ... If coordinates of any two points of a line are given, then the rate of change is the ratio of the change in the y-coordinates to the change in the x-coordinates.
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The slope of a line (also called the gradient of a line) is a number that describes how "steep" it is. In the figure above press 'reset'. Notice that for every increase of one unit to the right along the horizontal x-axis, the line moves down a half unit. It therefore has a slope of -0.5.