Question

Which linear function represents the line given by the point-slope equation y + 7 = –y plus 7 equals negative StartFraction 2 Over 3 EndFraction left-parenthesis x plus 6 right-parenthesis.(x + 6)?

f(x) = –f(x) equals negative StartFraction 2 Over 3 EndFraction x minus 11.x – 11
f(x) = –f(x) equals negative StartFraction 2 Over 3 EndFraction x minus 1.x – 1
f(x) = –f(x) equals negative StartFraction 2 Over 3 EndFraction x plus 3.x + 3

Answer 1

Start with y + 7 = -(2/3)(x + 6).

Distribute: y + 7 = -(2/3)x - 4.

Subtract 7: y = -(2/3)x - 11.

So the correct choice is f(x) = -(2/3)x - 11.