Question

Two quantities are related, as shown in the table below: xy 2 3 4 4 6 5 8 6 Which equation best represents the relationship? Y= 1/2 x+2 Y=1/2 x+1 Y= x+2 Y=2x+1

Answer 1

For a linear relationship, y=mx+b, m=(y2-y1)/(x2-x1) is a constant, all lines have a constant velocity, called the slope, m.

(4-3)/(4-2)=(5-4)/(6-4)=1/2=m so

y=x/2+b, using any point we can solve for "b", the y-intercept (the value of y when x=0), I'll use point (2,3)

3=2/2+b

3=1+b

2=b so the line is:

y=x/2+2 or as it is expressed in your choices above:

Y=(1/2)x+2