Mathematics: What is the rate of change and initial value for the linear relation that includes the points shown in the table? x; 1,3,5,7 y; 20,10,0,-10

BStep-by-step explanation:its not c and da has ac in it soB...

What is the rate of change and initial value for

kebaby9930

10.03.2022

The rate of change is -5

The initial value is 25

Step-by-step explanation:

Since, this is a linear relation

so, we can select any two points and find equation of line

points are (1,20) and (3,10)

so,

x_1=1,y_1=20

x_2=3,y_2=10

now, we can find slope

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{10-20}{3-1}$

m=-5

now, we can use point slope form of line

y-y_1=m(x-x_1)

now, we can plug values

y-20=-5(x-1)

now, we can solve for y

y=-5x+25

we know that

slope is the rate of change

So, the rate of change is -5

For finding initial value , we can plug x=0 and find y

$y=-5\times 0+25$

y=25

So, initial value is 25

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