RATE OF CHANGE & SLOPE Rate of change is a ratio that compares how much one quantity changes, on average, relative to the change in another quantity. If x is the independent variable and y is the dependent variable, then rate of change = Slope is also rate of change =

SLOPE OF A LINE

SLOPE CAN BE: OR … Positive + Negative - Zero

SLOPE CAN BE: A line that has an undefined slope is not a function. Undefined

SLOPE? POSITIVE, NEGATIVE, ZERO, OR UNDEFINED?

SLOPE? POSITIVE, NEGATIVE, ZERO, OR UNDEFINED?

SLOPE? POSITIVE, NEGATIVE, ZERO, OR UNDEFINED?

SLOPE? POSITIVE, NEGATIVE, ZERO, OR UNDEFINED?

HOW TO FIND THE SLOPE OF A LINE GIVEN A GRAPH Option 1 Option 2 Select two points Use the slope formula 1. Determine if it is positive, negative, zero, or undefined. 2. If it is zero, m = 0. If it is undefined, 3. Pick two points on the line 4. Start with the point on the left. Count up (+) or down (-). 5. Count to the right 6.

FIND THE SLOPE OF THE LINE

FINDING SLOPE WITH TWO COORDINATES; NO GRAPH

FIND THE VALUE OF R SO THE LINE THAT PASSES THROUGH EACH PAIR OF POINT HAS THE GIVEN SLOPE. (r, 3) (5, 9), m = 2

FIND THE VALUE OF R SO THE LINE THAT PASSES THROUGH EACH PAIR OF POINT HAS THE GIVEN SLOPE. (r, 2) (6, 3)