Question

find the slope of the line which makes an angle of 45 degree with a line of slope - 6/ 5.​

Answer 1

m1 = -6/5

M2 = ?

Tanz = (m2-m1)/1+m1.m2
Tan45 = p+6/5
———-
1-6/5p
1= 5p+6 / 5-6p
5- 6p = 5p+6
-11p =1
P=-1/11

Answer 2

Answer:

tan45 = (m1-m2)/(1+m1m2)

1 = (m1-(-6/5))/(1+M1*(-6/5))

1 = (M1+6/5)/(1-6m1/5)

1 = (5m1+6)/(5-6m1)

5m1+6 = 5-6m1

5m1+6m1 = 5-6

11m1 = -1

M1 = -1/11