Question

the line passing through point (2, 2) and perpendicular to the line whose equation is y = x

Answer 1

Answer:

Yes that is true?...............

Step-by-step explanation:

Answer 2

Answer:

$y=-x+4$

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;

$y-y_1=m(x-x_1)$

we plug in the slope and the point to get;

$y-2=-1(x-2)$

$y-2=-x+2$

$y=-x+2+2$

The required equation is

$y=-x+4$