Passing through (2,3) and parallel to y = x - 4

y = x + 1

Step-by-step explanation:

A line parallel to a given line has the same slope as the given line. Thus, the new line has the form y = x + c. We must find the y-intercept, c.

Substitute 2 for x and 3 for y in y = x + c, We get 3 = 2 + c. Then c = 1, and the equation of the new line is y = x + 1.