Answer:
y = x + 1
Step-by-step explanation:
The standard form of expressing the equation of a line is expressed as:
y - y0 = m(x-x0) where;
m is the slope
(x0, y0) is the point on the line
Given the line y = - x - 1
mx = -x
m = -1
The slope of the line perpendicular to the line will be 1
Given the point (1, 2), the required equation will be expressed as:
y - y0 = m(x - x0)
y - 2 = 1(x - 1)
y - 2 = x - 1
y = x - 1 + 2
y = x + 1
Hence the equation of a line perpendicular to y=-x-1 that contains the point (1, 2) is
y = x + 1