a. Drag the purple

x

on the

x

-axis to vary the value of

x

from

x=5

to

x=2

.\ Determine the value of

\\\\Delta x

as

x

varies from

x=5

to

x=2

.\

\\\\Delta x=,-3=-3.

\ b. Drag the purple

x

on the

x

-axis to vary the value of

x

from

x=5

to

x=2

and notice how

y

varies on this interval.\ As the value

x

varies from

x=5

to

x=2

, the value of

y

from 3.93 to\ c. Determine the value of

\\\\Delta y

as

x

varies from

x=5

to

x=2

.\

\\\\Delta y=,2=2.

\ d. Determine the value of

(\\\\Delta y)/(\\\\Delta x)

as

x

varies over the interval from

x=5

to

x=2

.\

(\\\\Delta y)/(\\\\Delta x)=

\ e. As

x

and

y

vary together at a constant rate of change, the ratio of

\\\\Delta y

to

\\\\Delta x

(also written

(\\\\Delta y)/(\\\\Delta x)

) is always\ f. As

x

and

y

vary together at a constant rate of change, then

\\\\Delta y=

Hint\ g. The constant rate of change of

y

with respect to

x

, as represented in the above linear graph, is

a. Drag the purple X on the x-axis to vary the value of x from x=5 to x=2. Determine the value of x as x varies from x=5 to x=2. x= 3=3. b. Drag the purple X on the x-axis to vary the value of x from x=5 to x=2 and notice how y varies on this interval. As the value x varies from x=5 to x=2, the value of y from to c. Determine the value of y as x varies from x=5 to x=2. y= 2=2. d. Determine the value of xy as x varies over the interval from x=5 to x=2. xy= e. As x and y vary together at a constant rate of change, the ratio of y to x (also written xy ) is always f. As x and y vary together at a constant rate of change, then y= Hint g. The constant rate of change of y with respect to x, as represented in the above linear graph, is