Question

Choose a linear function for the line represented by the point-slope equation y-5= 3(x - 2).

f(x) = 3x + 1
f(x) = 3x - 1
f(x) = 8x + 10
f(x) = 8x – 10

Answer 1

the answer will be B. f(x)=3x-1

Answer 2

f(x) = 3x - 1 is the linear function for the line represented by the point-slope equation

Solution:

Given point slope equation is:

`y - 5 = 3(x-2)`

We have to find the linear function for the line

The formula y = mx + b is said to be a linear function

Rearrange the given equation

`y - 5 = 3(x-2)\\\\y - 5 = 3x - 6\\\\Move\ the\ varibale\ y\ to\ one\ side\ and\ constants\ and\ x\ to\ other\ side\\\\y = 3x - 6 + 5\\\\y = 3x - 1`

Let y = f(x)

Then we get,

f(x) = 3x - 1

Thus the linear function is found