Question

Which linear function represents the line given by the point-slope equation y – 8 = y minus 8 equals StartFraction one-half EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)?

f(x) = f(x) equals StartFraction one-half EndFraction x plus 4.x + 4
f(x) = f(x) equals StartFraction one-half EndFraction x plus 6.x + 6
f(x) = f(x) equals StartFraction one-half EndFraction x minus 10.x – 10

Answer 1

Start with y − 8 = (1/2)(x − 4). Expand: y − 8 = (1/2)x − 2. Add 8: y = (1/2)x + 6.

So f(x) = (1/2)x + 6.