The table represents a function.x y0 62 84 106 12Complete the statement by selecting from the drop-down menu.The rate of change in the function y=x+4 is (BLANK) the rate of change of the function represented in the table.Greater thanLess than orEqual to

We have to complete the statement:" The rate of change in the function y=x+4 is ______ the rate of change of the function represented in the table."Let us consider the function represented in table.The coordinates given in the table are:(0,6) (2,8) (4,10) and (6,12)Consider the first two coordinates (0,6) and (2,8)[tex] x_{1}=0 , y_{1}=6, x_{2}=2 , y_{2}=8 [/tex]Equation of line is given by [tex] (y-y_{1})=m(x-x_{1}) [/tex] where 'm' is slope(rate of change) is given by the formula:[tex] m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]So, [tex] m = \frac{8-6}{2-0}=1 [/tex]So, equation of line is :(y-6)= 1 (x-0)y-6=xy=x+6Comparing it with standard equation of line y=mx+c with slope 'm'.So, we get m(Rate of change)=1.Now, We will find the rate of change(slope) in the function y=x+4Comparing it with standard equation of line y=mx+c with slope 'm'.So, we get m(Rate of change)=1.So, " The rate of change in the function y=x+4 is equal to the rate of change of the function represented in the table.