In analytical geometry, there are already derived equations to find the distance of lines and points as well as the angle made between two lines. As special case is when the other line is one of the coordinate axis. Then, the formula can be simplified to
tan θ =m, where m is the slope of the equation
In the next step, we also incorporate operations of calculus. Since the slope is equal to Δy/Δx, this is equivalent to dy/dx in calculus. Therefore, you can find the slope by differentiating the equation in terms of x.
<span>y-2x=7
y = 2x+7
dy/dx = 2 =m
So,
tan </span>θ = 2
θ = tan⁻¹(2)
θ = 63.43°
Information is either qualitative or quantitative
Qualitative data is described with words
Quantitative data is described with numbers
Quantitative Information is expressed using numbers
Given,
The linear pair of the equation is,
Required
The solution of the linear equation.
Taking the equation first as,
Substituting the value of y in second equation then,
Substituting the value of x in first equation then,
Hence, the solution of the system is (1, -10).
