(-2,-2); y=x+9 point slope perpendicular line

Step-by-step explanation:

y = x + 9 is the given equation of a line.  The coefficient of 'x' is 1.  Therefore the slope of this line is 1.

The slope of any line perpendicular to this  y = x + 9  is the negative reciprocal of 1, which is -1.

Using the point-slope formula for the equation of a straight line, y - k = m(x - h), we identify h and k as -2 and -2 respectively, from the given point (-2, -2).

Then, y - k = m(x - h) becomes y + 2 = -1(x + 2) (in point-slope format)