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.

the final function for the graph becomes x-2=-1. before graphing you solve the equation, where x=1. then graph accordingly.   ( on the x-axis, 1 on the line will possess a vertical line.)