The area under the graph line
1 answer:
<u>The statement is true</u>: the area under the graph line made with the x-axis
represents the change in position of the object on a velocity versus time
graph.
Reasons:
The area under the velocity time graph is given by the integration of the function for the velocity over the time interval.
A constant velocity is an horizontal line and the integration of a constant with time, gives the product of time and the constant, which is area under the rectangular graph.
Therefore, the area under the graph line made with the x-axis represents the change in position of the object on a velocity versus time graph.
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Answer: Third option:
Step-by-step explanation:
The equation in Slope Intercept form of a line that does not pass through the point (0,0), which is known as "Origin, is the following:
Where "m" is the slope of the line and "b" is the y-intercept.
The equation in Slope Intercept form of a line that passes through the Origin, is:
Where "m" is the slope of the line.
In this case you can observe in the picture attached that the line passes through the point (0,0).
You can also notice that "y" would be the Dependent variable and "x" the Independent variable.
Therefore, the equation of this must have this form:
The only equation that matches with that form, is the one given in the Third option. This is: