What is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –(x – 6) and passes through the point (−2, −2)?

When a line is perpendicular to another, its slope is the negative reciprocal of the given line. the slope of the given line is -1, so the slope of the new line is 1
y-(-2)=1(x-(-2)) this is the point-slope form

y+2=x+2
y=x+0
this is the slope-intercept form. the slope is 1, the intercept is o

The answer would he -4,-2 because the points are just on the opposite side. since the x axis is +4 it's going to he -4 and since the y axis is -2 it stays there because whaen rotated it stays in the third quadrant