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

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

Slope = (vertical change)/(horizontal change), commonly referred to as rise/run. If the graph is a straight line, then you can count squares or measure how much change in vertical, over a specified change in horizontal. If it is a curve, then you need to have a tangent line (a line that touches the curve at a specific point and has the same slope as the line), then you can determine the slope of that line using the method described, above.


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.


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 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.


What is the slope of the equation y equals -x?

The equation has no slope. The graph of the equation is a straight line with a slope of -1 .


If a line plotted on a graph is horizontal what's the slope?

It has no slope and is parallel to the x axis