What is the equation of the line perpendicular to negative x plus y equals seven and passing through (-1 - 1) ?

Hello:

the equation is : y = ax+b

the slope is a : a * (1) = - 1 ... (perpendicular to a line : - x+y = 7 or y = x+7 with a slope of 1)

a = - 1 y=-x+b

the line that passes through (-1, - 1) : - 1 = - (-1) + b

b = - 2

the equation is : y = - x-2