Question

Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)? f(x) = –3x – 6 f(x) = –3x – 4 f(x) = –3x + 16 f(x) = –3x + 14

Answer 1

Option D.is the answer.

Explanation:

The given equation of the line is y + 1 = -3(x - 5)

By solving the equation for the value of y

y = -3(x - 5) - 1

y = -3x + 15 - 1

y = -3x + 14

To convert this equation into function we will replace y by f(x).

f(x) = -3x + 14

Option D. will be the answer.

Answer 2

f(x)=-3x+14

Explanation:

we have

y+1=-3(x-5)

Isolate the variable y

Distributed right side

y+1=-3x+15

Subtract 1 both sides

y=-3x+15-1

Combine like terms

y=-3x+14

Convert to function notation

Let

f(x)=y

f(x)=-3x+14