Question

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

Answer 1

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

Explanation:

Answer 2

`y=-x+4`

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`