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 20
3 10
5 0
7 -10
Initial value: 20, rate of change: 10
Initial value: 30, rate of change: 10
Initial value: 25, rate of change: -5
Initial value: 20, rate of change: -10

Answer 1

Let's find out the linear relation

let the linear relation be y=mx+c . using the given information
at x=1 & y=20, 20=m+c .....(1)
at x=5 & y=0 , 0=5m+c......(2)

From the equation (1) & (2)
m=-5 , c=25

so the linear relation comes out to be y=-5x+25

Answer 2

at x=0 u will gt the initial value of y
& the rate of change is the slope

Answer 3

so its c