Question

Write a linear function for the line represented by the point-slope equation y - 4 = 3 (x - 4)

Answer 1

Answer:

Y = 3 X + (-8)

Step-by-step explanation:

The given equation  is in  the slope intercept form

Equation is

                 Y - 4 = 3 (X - 4)

In a linear function → it takes number X as a input and gives mX + b as output.

m and b are constant.

mX → it is called scaling by factor m.

   +b → it is called a shift by an amount b.                  

Then we can say that linear function looks like this

f(X) = mX + b

Let Y = f(X)

Hence,

           Y = mX + b

From the given equation

                                         Y - 4 = 3 (X - 4)

                                          Y - 4 = 3 X - 12

                                           Y = 3 X + (-8)                                (m = 3 , b = - 8)

It is the linear form of the given equation