Question

Identify the equation in slope intercept from that has a slope of 1/2 and goes through the point (-6, 1).

y=12x+6

y=12x−2

y=12x+1

y=12x+4

Answer 1

y=1/2x+4

Explanation:

y-y1=m(x-x1)

y-1=1/2(x-(-6))

y-1=1/2(x+6)

y=1/2x+6/2+1

y=1/2x+3+1

y=1/2x+4

Answer 2

y=1/2x-2

Explanation:

Substitute in 1/2 and (-6,1) into the y=mx+b equation:

1=(1/2)(-6)+b

Simplify and solve for b:

1=3+b

1-3=b

-2=b

y=1/2x-2 is your answer.