The general equation of line with slope m is express as :
y = mx + b
The given equation of line : y = 4/7x - 7
On comparing with the general form of line we get m = 4/7
Two lines are said to be perpendicular if the products of thier slope is (-1)
Let the slope of perpendicular line is n
So,
[tex]\begin{gathered} mn=(-1) \\ \frac{4}{7}n=(-1) \\ n=(-1)\times\frac{7}{4} \\ n=(-\frac{7}{4}) \end{gathered}[/tex]So, the slope of perpendicular line is (-7/4)
The line is passing through (7,2)
Substitute them in the general equation of line:
y - 2 = (-7/4)(x-7)
So, equation of line is :
[tex]y-2=(\frac{-7}{4})(x-7)[/tex]
