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(-5,5)(-6,8) x=-6 and x=-5 find average rate of change

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5 votes

Answer:

Average rate of change is -3

Explanation:

Is "(-5,5)(-6,8)" supposed to represent a straight line? We will assume so, since no equation is provided for which to determine an average rate of change.

Lets find the equation of the line defined by (-5,5)(-6,8). We'll look for one of the form y=mx + b, where m is the slope and b is the y-intercept (the value of y when x equals zero).

Slope: Rise/Run

Rise = (8-5) = 3

Run = ((-6 - (-5) = -1

Slope = 3/-1 or -3

We can write y = -3x + b Find b by entering either of the two known points. Let's use (-5,5).

y = -3x + b

5 = -3*(-5) + b

5 = 15 + b

b = -10

The equation for this line is y = -3x - 10

See the attached graph.

The average rate of change between the two points is the slope of the line between the points. The slope of -3 is the rate of change.

(-5,5)(-6,8) x=-6 and x=-5 find average rate of change-example-1
User GeorgeLPerkins
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