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.
