Represent the locus of points satisfying the equation 2+x=y using a table of at least 5 values.

In mathematics, a locus is a curve or a line formed by a series of points. These points are solutions to the given equation of the curve or line. For this problem, the locus of points formed is a line because the given equation is a linear. The general form of a linear equation is: ax + by = c, where a and b are coefficients and c is a constant.

To create a locus, assign random values of x. Then, you get corresponding values of y. Plot the pair of coordinates together as points, then connect them to form a line. A sample calculation would be:

Let x=0,
y = 2 + x
y = 2 + 0
y = 2
So, the point is (0,2).

The same procedure is done to x=2, x=3, x=4 and x=5. The pairs are tabulated below:

      x           y
      0           2
      1           3
      2           4
      3           5
      4           6
      5           7

The resulting line is shown in the picture.