Question

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)?  y = –x – y = –x + y = x – 1 y = x + 1

Answer 1

y – 4 = –(x – 6) 
y - 4 = -x + 6
y = -x + 2 with slope = -1

perpendicular slope is opposite and reciprocal so slope = 1
passes through the point (−2, −2)

y + 2 = 1(x + 2)
y + 2 = x + 2
y = x 

answer
y = x