Question

What is the equation of the line passing through the point (2,-3) and making an angle of -45°with the positive x-axis?

Answer 1

we know that general equation of line is
$y = mx + c$
angle =-45
m=-1
and (2,-3) will satisfy eqn.... hence put x=2,y=-3,m=-1
$- 3 = ( - 1)(2) + c \\ c = - 1 \\ y = mx + c \\ y = ( - 1)x + ( - 1) \\ y + x = - 1$
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