<span>y = 2x − 3 resembles Ax + By + C = 0, which is the "standard equation of a straight line."
Note that in </span>y = 2x − 3, both x and y are to the power 1. This is another indicator that <span>y = 2x − 3 represents a straight line.
Another check to determine whether or not </span>y = 2x − 3 represents a straight line would be to determine whether the given points (such as the points (0, −3), (1, −1), (2, 1) ) satisfy theis equation y = 2x - 3.