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Q: How do you interpret the slope of the straight line graph?
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Is the first derivative of a function is a constant then its graph is?

A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.


The graph of which line has a slope of 2?

The graph of the equationy = 2x + any numberis a straight line with a slope of 2.


What happends to the graph of a line when the slope is negative?

A straight line graph with negative slope slants downward from left to right.


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 can you use the graph of velocity versus time to estimate the acceleration of the ball?

The acceleration of the ball can be estimated by calculating the slope of the velocity versus time graph. If the graph is a straight line, the slope represents the acceleration. The steeper the slope, the greater the acceleration. If the graph is curved, the instantaneous acceleration can be estimated by finding the slope of the tangent line at a specific point on the curve.


If the velocity is constant describe the slope of the graph on a position vs. time graph.?

If velocity is constant, the slope of the graph on a position vs. time graph will be a straight line. The slope of this line will represent the constant velocity of the object.


How do you create a straight line that slopes up on a position-time graph?

A straight line with a positive slope on a position-time graph is the graph of an object that's moving in a straight line with constant speed.


A slope in a basic straight line graph?

Slope of a straight line on a Cartesian coordinated graph is 'rise over run' = y2-y1/x2-x1 = change in 'y'/change in 'x'


How do you determine the slope of a straight line on a graph?

Slope of a straight line on a Cartesian coordinated graph is 'rise over run' = y2-y1/x2-x1 = change in 'y'/change in 'x'


How can a position time graph show if an object has constant acceleration?

A position-time graph with a straight line indicates constant acceleration. The slope of the line represents the acceleration, which is constant if the slope remains the same throughout the graph. A steeper slope indicates a greater acceleration, while a shallower slope indicates a smaller acceleration.


A straight line on a graph means there is a what relationship?

A direct relationship if the slope of the line is positive. An inverse relationship if the slope of the line is negative.


How do you graph using point slope?

A straight line on the Cartesian plane