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makes line steeper or flatter
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What characteristic of a graph represents the rate of change?
The slope of a graph.
How does the slope of a distance vs time graph change when there is acceleration?
The slope increases.
How do you get the slope of a line on a graph?
Take a tangent at the point where you want the slope. Then the slope of the graph at that point is the slope of the tangent, which is found by taking another point on the tangent and then taking the change in y between the two points and divid it by the change in x.
What does a shallow slope on a graph say about the rate of change?
A low rate of change.
What does the slope of a line tell you on a graph?
the rate of change on the line.
What does a change in the slope of a motion graph indicate?
A change in the slope of a location-time graph of an object indicates a change in the radial component of its speed.
What characteristic of a graph represents the rate of change?
The slope of a graph.
How do you tell whether a graph shows a constant or variable rate of change?
The slope of each point on the line on the graph is the rate of change at that point. If the graph is a straight line, then its slope is constant. If the graph is a curved line, then its slope changes.
How does the slope of a distance vs time graph change when there is acceleration?
The slope increases.
How do you determine the rate of change in a graph?
Rate of change is essentially the same as the slope of a graph, that is change in y divided by change in x. If the graph is a straight-line, the slope can be easily calculated with the formula:Vertical change ÷ horizontal change = (y2 - y1) / (x2 - x1)
What does the slope of a force versus time graph indicate?
The slope of a force vs. time graph is equal to the change in momentum or the Impulse.
Is acceleration the slope of a line on a distance time graph?
No. The slope of the distance-time graph is the change in distance per unit of time - otherwise known as speed. Acceleration is the slope of the speed time graph.
How do you get the slope of a line on a graph?
Take a tangent at the point where you want the slope. Then the slope of the graph at that point is the slope of the tangent, which is found by taking another point on the tangent and then taking the change in y between the two points and divid it by the change in x.
How do you locate rate of change on a graph?
Find the slope of the tangent to the graph at the point of interest.
Why do you need slope?
Slopes give you the rate of change. On a distance vs. time graph the rate of change (i.e. the slope) is the velocity. On a Velovity vs. Time graph the rate of change is the acceleration. etc.
The slope of velocity versus time graph gives?
If your graph shows velocity on the vertical axis and time on the horizontal axis, then the slope of the graph represents the acceleration. More specifically, the slope of the graph at a specific point represents the acceleration at that instantaneous point in time. So if the slope of the graph doesn't change (i.e. the graph is a straight line), then the acceleration is constant and doesn't change over time. In calculus, this is represented as the derivative: The derivative of velocity with respect to time equals the acceleration.
What does a shallow slope on a graph say about the rate of change?
A low rate of change.
