Question

2.
11. If the angle between two lines is and slope of one of the lines is, find the slope of
other line​

Answer 1

Slope of another line = 3  or -1/3

Step-by-step explanation:

angle between two lines π/4

slope of one of the lines is 1/2

slope of other line = m

Tan (π/4)  = | (m - 1/2) / (1  + m(1/2)|

=> 1  =  | (2m - 1)/( 2 + m) |

case 1

(2m - 1)/(2 + m) = 1

=> 2m - 1 = 2 + m

=> m = 3

case 2

(2m - 1)/(2 + m) = -1

=> 2m - 1 = -2 - m

=> 3m = -1

=> m = -1/3

Step-by-step explanation: