Mika wrote the table of points below. x y 0 2 3 5 6 8 which explains whether or not mika has described a proportional relationship, and why?

Answer with explanation:

Table Wrote By Mika:

x : 0     3      6

y :  2     5      8

→Ratio of difference of y values to x values between two points,when represented on two dimensional plane

Since,slope is same, so it is linear relationship.

If we represent these points on a line ,and get a straight line,it means the function is linear ,and if this line passes through point (0,0),then the relationship will be proportional.

Equation of line passing through two points can be obtained by the formula

→y-b=m(x-a)

→y-2=1×(x-0)

→y=x+2, is equation of linear function.

Checking whether the line passes through (0,0) or not

LHS, at ,(0,0)=0

RHS at (0,0)=0+2=2

LHS≠RHS

So,the given points when combined forms a linear function, does not have proportional relationship.

→If the linear function has the type : y= k x, then there would have been proportional relationship means ratio of y values to x values of each point given, is same.

2x^2+5x+17

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