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

Answer: Option D
`f(x)=-3x+14`

Explanation:

We have Given that : The point-slope equation is

`y+1=-3(x-5)`

now we solve this equation and convert it into slope form so that we get the linear function,

so,
`y+1=-3x+15`

⇒
`y=-3x+14`

which is the point slope form y=mx+c

therefore, the linear function of the equation is

`f(x)=-3x+14`

Option D is correct