Question

find the angle between two line y= x+4 and y=2x+3

Answer 1

Answer:

Given Lines

y=x+4 and  

y=2x−6

We have angle between two lines of slope m  

1

​

,m  

2

​

 as,  

tanθ=  

∣

∣

∣

∣

∣

​

 

1+m  

1

​

m  

2

​

 

m  

1

​

−m  

2

​

 

​

 

∣

∣

∣

∣

∣

​

 

Here m  

1

​

=2 and m  

2

​

=1

tanθ=  

∣

∣

∣

∣

∣

​

 

1+(2)(1)

2−1

​

 

∣

∣

∣

∣

∣

​

=  

3

1

​

 

θ=tan  

−1

(  

3

1

​

)

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Given Lines

y = x+4  and  

y = 2x+3

Comparing with y=mx + c ,

          Slope $m__1}$ = 1

          Slope $m__2}$ = 2

tanθ = |$m__1}$- $m__2}$| ÷ |1 + $m__1}$ x $m__2}$|                               where $m__1}$ x $m__2}$ ≠ -1

tanθ = |- 1| ÷|3|\

θ = $tan^{-1}$( $\frac{-1}{3}$ )

  =