Question

What is the rate of change and initial value for the linear relation that includes the points shown in the table?

x y
1 10
2 8
3 6
4 4


(4 points)


Initial value: 12, rate of change: –2
Initial value: 8, rate of change: 2
Initial value: 12, rate of change: 2
Initial value 8, rate of change: –2

Answer 1

find the slope
\(\dfrac{8-10}{2-1}=\dfrac{-2}{1}=-2\)

so -2 is the rate of change

Answer 2

plug that into the equation we have
\(y=-2x+b\\ 10=-2*1 +b\\ 10 = -2 + b \\ 12 = b\)

12 is the initial value

Answer 3

thanks

Answer 4

yw

Answer 5

can you help me with anoter

Answer 6

another

Answer 7

another

Answer 8

Identify the initial value and rate of change for the graph shown.

(4 points)


Initial value: 5.5, rate of change:
Initial value: 4, rate of change:
Initial value: , rate of change: 4
Initial value: , rate of change: 5.5