Which table could be a partial set of values for a linear function? x y 0 0 1 2 2 8 3 18 x y 0 3 1 5 2 7 3 9 x y 0 9 1 8 2 5 3 0 x y 0 1 1 2 2 5 3 10

The second table

Step-by-step explanation:

When x-values are uniformly spaced (1 apart, for example), y-values are also uniformly spaced (have a common difference) when the function is linear.

The second table shows a common difference of 2 between y-values, so that function is linear.

Table 1 differences are 2, 6, 10, so is likely quadratic.

Table 3 differences are -1, -3, -5, so is likely quadratic.

Table 4 differences are 1, 3, 5, so that one, too, is likely quadratic.

Comment on differences

We call the differences between table values the "first differences." Then the differences between those are "second differences." Differences between the  "n-1-th" differences are called the "n-th" differences. When n-th differences are constant (and not zero), the table values can be represented by a polynomial of n-th degree.

Hence when 1st differences are constant, the table represents a 1st-degree (linear) function. When 2nd differences are constant, the table represents a quadratic function.

europa2433

europa2433

step-by-step explanation:

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.