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A low rate of change.

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Q: What does a shallow slope on a graph say about the rate of change?
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Why is the slope called the rate of change?

On a graph, the slope does tell you the rate of change of y with respect to x. If the slope is steep, that means that there is a high rate of change of y with respect to x. If the slope is shallow, then y is not changing that rapidly with respect to x.


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.


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.


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 line tell you on a graph?

the rate of change on the line.


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 can slope be referred to as rate of change?

Slope can be referred to by rate of change because it is the rate that x changes compared to y on a graph.


What does the slope mean on a line graph?

Rate of change of the "vertical" variable in relation to the "horizontal" variable.


What does the slope of the curve on a velocity time graph represent?

The rate of Change in acceleration.


What is the slope of the line tangent to the curve on a position-time graph at a specific time?

The slope of the tangent line in a position vs. time graph is the velocity of an object. Velocity is the rate of change of position, and on a graph, slope is the rate of change of the function. We can use the slope to determine the velocity at any point on the graph. This works best with calculus. Take the derivative of the position function with respect to time. You can then plug in any value for x, and get the velocity of the object.


What does the slope of they curve on a velocity-versus-time graph represent?

The rate of change in accelleration.