The map shows the locations of 11 shelters along the Appalachian Trail. The distances (in miles) between these
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<u>Given:</u>
Given that the graph of a linear function.
We need to determine the equation of the graph in slope intercept form.
<u>Slope</u>:
Consider any two coordinates from the equation of the line to determine the slope.
Let the two coordinates are (-4,3) and (4,-1)
The slope can be determined using the formula,
Substituting the coordinates in the above formula, we get;
Thus, the slope of the equation is
<u>Value of y - intercept:</u>
The value of y - intercept is the value of y when x = 0.
Hence, from the graph, it is obvious that the value of y when x = 0 is 1.
Hence, the value of y - intercept is 1.
Thus, y - intercept is
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Substituting the slope and the y - intercept
Thus, we get;
Thus, the equation of the line is
Substitute the numbers in the equation:
Since L=5in, W=4in and H=8in:
Therefore, the volume is equal to 160 inches cubed.