Find the equation of the straight line that passes through the point (2, -2) and inclined at 45° to the horizontal axis.

Answer 1

a 45 degree incline means slope = 1

slope = tan45 = 1

y+2 = (1)(x-2) is the equation in point slope form

x-y = 4 is the equation in standard form

check the solution by plugging in the point (2,-2)

2-(-2) = 4

2+2 = 4