Question

Which linear function represents the line given by the point-slope equation y – 8 =1/2 (x – 4)?

a.f(x)=1/2 x+4B.f(x)=1/2 x+6C.f(x)=1/2x-10D.f(x)=1/2x-12

Answer 1

What you have to do here is put that point-slope form of the line into the slope-intercept form, which simply means to solve it for y. We first distribute the 1/2 into the parenthesis to get
`y-8=(1)/(2)x-2`. Now we will add 8 to both sides and get
`y=(1)/(2)x+6`. Of course, in function notation that is
`f(x)=(1)/(2)x+6`, which is choice B.