carterssavagepump carterssavagepump
  • 11-12-2020
  • Mathematics
contestada

Write a linear equation with a rate of change of -5 and initial value at (0, 4)

Respuesta :

Ejaymatos97
Ejaymatos97 Ejaymatos97
  • 11-12-2020

Answer:

Initial Value: 25, Rate of change -5.

Step-by-step explanation:

First. Lets find the rate of change.

y2-y1/x2-x1 = m

We have A(1,20) B(3,10)

10-20/3-1=-5

m=-5(Rate of change)

Now let's find the initial value using slope-point form.

y-y₁=m(x-x₁)

y-20=-5(x-1)

=-5x+5+20

=-5x+25

The initial value is the value of y when the value of x is equal to 0. (Also the Y-Intercept)

Initial Value = -5(0)+25

=25

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