Question

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

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Answer 1

Y = 3 X + (-8)

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