Answer:
y=x
Step-by-step explanation:
the line that is perpendicular to the line
y – 4 = –(x – 6) and passes through the point (−2, −2)
Given equation of a line is y-4 = -(x-6)
write the equation in the form of y=mx+b where 'm' is the slope
y-4= -x+6
add 4 on both sides
y=-x+10
Slope of given line = -1
Take negative reciprocal to get the slope of perpendicular line
slope of perpendicular line = 1
slope = 1 and point (-2,-2)
y-y1= m(x-x1)
y+2= 1(x+2)
y+2=x+2
Subtract 2 from both sides
y=x
