The Coordinate Plane, Average Rate of Change

The Coordinate Plane is made up of a y-axis (vertical line) and an x-axis (horizontal line).

The x and y axis intersect at a point called the origin.

*Every point in the coordinate plane has an x-coordinate (abscissa) and a y-coordinate (ordinate), such that point P(x,y).

*Any point that lies on the x or y-axis is not considered to be located in ANY quadrant.

Average Rate of Change

To find the average rate of change, divide the change in y by the change in x

Average Rate of Change2
ex: On September 10 in midstate New Hampshire, the temperature at 6 A.M. was 45°F. At 2 P.M. on the same day, the temperature was 77°F. find the average rate of change in temperature per hour.

Hint: when you see the word per, it means divide. This tells you which variable is x and which is y.

77°F – 45°F / 2 P.M. – 6 A.M.

32°F / 8 hours = 4°F per hour

There was an average change of 4°F per hour.

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