The equation of the line is [tex]y = \dfrac{-4}{5}x -\dfrac{34}{5}[/tex].
What is an equation?
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The equation of the line will be calculated as:-
5x - 4y = 10
Convert the equation into y = mx + x form.
y = ( 5 / 4 ) x +- ( 5 / 2 )
The slope of the equation is,
m = 5 / 4
The slope of the equation perpendicular to the given equation:-
m = ( -1 / slope )
m= ( -4 / 5 )
The value of the constant is calculated by putting the values of the point in the equation.
( -6 ) = ( 4/ 5) + c
c = ( -34 / 5 )
The equation of the line is,
y =mx + c
y = ( -4 / 5 ) x + c
Hence, the equation of the line is [tex]y = \dfrac{-4}{5}x -\dfrac{34}{5}[/tex].
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