Question

The line with equation x + y = 0 coincides with the terminal side of an angle θ in standard position in Quadrant II .

Answer 1

Answer:

tanθ = -1

m=tanθ = -1

Step-by-step explanation:

Step 1:-

using formula m=tanθ

Given straight line is x+y=0

The given straight line is passing through the origin so y = -x

straight line is passing through the origin so y = m x

m = -1

Step3:-

The line with equation x+y=0 with the terminal side of an angle θ in standard position in Quadrant II i.e., θ = 90+45=135

 m  = tanθ

 m  = tan(90+45)

  m   = - cot 45

   m   = -1

Step4:-  m =tanθ =-1