Question

find the equation of the line cutting off an intercept -2from the y axis and equally inclined to the axes.

Answer 1

Equally inclined to both axes implies angle is either 45° or 135°
Thus m = 1 or m = -1

Intercept = -2

y = mx + c
y = 1(x) - 2
y = x - 2 --- (1)

Also,

y = -1(x) - 2
y = -x - 2 --- (2)

(1) and (2) are required equations.