what physical quantity is represented by the slope of the line?
536961
The slope is representing the change in v over the change in time. By definition, this is the acceleration. Also more than just a gimmick, it's geometry's way of showing us how variables not only relate to one another, but how they can represent the rate of change between the variables.
1409678
A considerable amount of information about the motion can be obtained by examining the slope of the various motion graphs. The slope of the graph of position as a function of time is equal to the velocity at that time, and the slope of the graph of velocity as a function of time is equal to the acceleration.
812742
Geometric Interpretation of Direct Variation Anyway, a straight line through the origin (0,0) always represents a direct variation between y and x. The slope of this line is the constant of variation. In other words, in the equation y=mx y = m x , m is the constant of variation.
1419953
Zero! This relationship always holds: a slope of zero means that the line is horizontal, and a horizontal line means you'll get a slope of zero. (By the way, all horizontal lines are of the form "y = some number", and the equation "y = some number" always graphs as a horizontal line.)
801152
Slope is the inclination of a straight line: for example, in y=3x, the slope is three. A tangent, on the other side, is a straight line that only touches something (a circle, a function…) at a single point. In calculus, the slope of a function at a given point is the slope of the tangent line.
661358
It was learned earlier in Lesson 4 that the slope of the line on a velocity versus time graph is equal to the acceleration of the object. If the object is moving with an acceleration of +4 m/s/s (i.e., changing its velocity by 4 m/s per second), then the slope of the line will be +4 m/s/s.
43284
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... The steepness, incline, or grade of a line is measured by the absolute value of the slope.
902874
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.
1475829
Distance: Between any two points, the length of the line segment joining the points. ... Slope: Of a line, the tangent of the angle that the line makes with the positive x-axis; in rectangular Cartesian coordinates, slope = , where (x1, y1) and (x2, y2) are points on the line, and designated by m; also ; also known as .
412675
The slope of a line is undefined if the line is vertical.
1393034
We usually describe the value of the slope as increasing slope, decreasing slope, and constant slope. In mathematics subjects like algebra, slope is symbolized by the letter m. ... The unit of the slope is meters/second since y is measured in meters and x is measured in seconds. The slope is equal to 2 meters/second.
687967
In math, the slope describes how steep a straight line is. It is sometimes called the gradient. The slope is defined as the "change in y" over the "change in x" of a line. If you pick two points on a line --- (x1,y1) and (x2,y2) --- you can calculate the slope by dividing y2 - y1 over x2 - x1.
769555
The reason is that slope and elasticity are different concepts. Slope measures the steepness or flatness of a line in terms of the measurement units for price and quantity. Elasticity measures the relative response of quantity to changes in price.
329054
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). ... The slope of a velocity-time graph reveals information about an object's acceleration.
168877
Slope describes the steepness of a line. The slope of any line remains constant along the line. The slope can also tell you information about the direction of the line on the coordinate plane. Slope can be calculated either by looking at the graph of a line or by using the coordinates of any two points on a line.
953181
' 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.
1089750
Explanation: 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.