The value of k = [tex]\frac{-7}{2}[/tex] so the point is on the line kx+3y=7
what is line?
A line is an endlessly long object without breadth, depth, or curvature in geometry. Thus, despite the fact that they can exist in two, three, or higher dimensional environments, lines are one-dimensional things. The term "line" can also refer to a line segment that has two locations that serve as its ends in daily life.
given
the point of the line = ( 1 ,-k )
the line = kx + 3y = 7
the coordinates make the equation true when its points are on the line
so putting the values of x and y in equation of line
k( 1 ) + 3 ( -k ) = 7
k - 3k = 7
-2k = 7
k = [tex]\frac{-7}{2}[/tex]
The value of k = [tex]\frac{-7}{2}[/tex] so the point is on the line kx+3y=7
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