Answer:
[tex]y=-x+4[/tex]
Step-by-step explanation:
We want to find the equation of the line passing through (2,2) and perpendicular to the line with equation y=x.
The given line y=x has slope n=1.
The line that is perpendicular to this line has slope m=-1
The equation is given by the formula;
[tex]y-y_1=m(x-x_1)[/tex]
we plug in the slope and the point to get;
[tex]y-2=-1(x-2)[/tex]
[tex]y-2=-x+2[/tex]
[tex]y=-x+2+2[/tex]
The required equation is
[tex]y=-x+4[/tex]
