Find the angle between the X-axis and the line joining the points `(3,-1)a n d\ (4,-2)dot`

Explanation

Slope of `x`-axis is `m_(1)=0`
Slope of a line passing through the given points : `(3,-1)` and `(4,-2)`.
`m_(2)=(-2-(-1))/(4-3)=(-1)/(1)=-1`
If `theta` is the angle between `x`-axis and the line joining given points then
`tan theta=(m_(2)-m_(1))/(1+m_(1)m_(2))`
`tan theta=(-1-0)/(1+(0)xx-1)=-1`
`tan theta=tan135^(@)impliestheta-135^(@)`
Therefore, the angle between `x`-axis and given line `=135^(@)`.