1. find the equation of the line which intercepts a length 2 on the positive direction of the x-axis and is inclined at an angle of 135⁰ with the positive direction of y-axis.

let's calculate slope of the line

m = tan(135 + 90)

we have added 90 to calculate angle made with positive x axis.

m = tan(225)

m = tan(180 + 45) = tan(45)

m = 1

-

y = mx + c

the line passes through (2,0)

0 = 2 + c

c = -2

The equation of line is

y = x - 2