Question

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

f(x) = –x – 11
f(x) = –x – 1
f(x) = –x + 3
f(x) = –x + 13



Giving 99 points for the best answer

Answer 1

Note that point-slope equation is: (y - y₁) = m(x - x₁)

Also note that f(x) = y

Isolate the y. Subtract 7 from both sides:

y + 7 = –(x + 6)

y + 7 (-7) = -(x + 6) - 7

y = -(x + 6) - 7

Note that the equation is really: y = -1(x + 6) - 7

Distribute -1 to all terms within the parenthesis

y = -1(x + 6) - 7

y = -x - 6 - 7

Simplify. Combine like terms

y = -x - 13 ; or f(x) = -x - 13, which is none of the above.

Please check and verify your choices.

hope this helps