The product of these slopes is product shows that the slopes are negative reciprocals. it is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.

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Step-by-step explanation:

Let the slope of one line be 's' , then according to the given condition that the  slope of second line is negative reciprocal of the first , We obtain the slope of the second line as .

So, the product of both the slopes is given by

This shows that whatever the slopes may be if they are negative reciprocal of each other then their product will always be -1

Therefore, the average rate of change is 2.

Step-by-step explanation:

The average rate of change  of for  over the interval  will be the slope of the  secant line  connecting the 2 points.

To calculate the average rate of change  of f(x) on the interval [a, b] is:

The average rate of change between (4, -4) and (8, 4) will be:

Therefore, the average rate of change is 2.

Step-by-step explanation: