Question

Which linear function represents the line given by the point-slope equation y + 7= -2/3 (x+6)

A) f(x) = -2/3x – 11

B) f(x) = -2/3x -1

C) f(x) = -2/3 + 3

D) f(x) = -2/3 + 13

Answer 1

`y + 7 = - (2)/(3)(x + 6) \\`

`y + 7 = - (2)/(3)x - 4 \\`

Subtract sides -7

`y = - (2)/(3)x - 4 - 7 \\`

Thus ;

`y = f(x)= - (2)/(3)x - 11 \\`

So the correct answer is (( A )) .