Question

Which linear function represents the line given by the point-slope equation y-8=

(x - 4)?
| O Rx) = x + 4
Rx) = {x+6
RO) = 3x - 10
Rx) = 3x - 12

Answer 1

`f(x)=x+4`

Explanation:

we have

`y-8=(x-4)`

This is the equation of the line in point slope form

where

The slope is m=1

The point is (4,8)

Convert to slope intercept form

Isolate the variable y

Adds 8 both sides

`y-8+8=x-4+8`

Combine like terms

`y=x+4`

Convert to function notation

`f(x)=x+4`