Which linear function represents the line given by the point-slope equation y – 8 = (x – 4)? f(x) = x + 4 f(x) = x + 6 f(x) = x – 10 f(x) = x – 12

It is understood without being written that the slope of this line is 1.  If we rewrite the point-slope form of the line it would be y-8=1(x-4) where 1 is the slope.  We move the -8 over by addition to get y = 1x-4+8, or, simplified, y=x+4, the first choice in your answers.