Determine whether the line Upper L 1L1 whose equation is yequals=5 x minus 95x−9 and the line Upper L 2L2 whose equation is yequals=one fifth x plus 6 1 5x+6 are parallel, perpendicular, or neither.

The two lines are parallel if their gradients [tex]m_{1}[/tex] and [tex]m_{2}[/tex] are equal.
Two lines are perpendicular if the products of the gradients, [tex]m_{1}[/tex][tex]m_{2}[/tex] =-1, i.e. gradient of one, [tex]m_{1}=-\frac{1}{m_{2}}[/tex] [tex]m_{2}[/tex]

Consider the given lines [tex]L_{1}[/tex] whose equation is given as y=5x-9 and the line [tex]L_{2}[/tex] whose equation is given as [tex]y=\frac{1}{5}x+6[/tex].

To make a comparison, ensure that the lines are in the slope-intercept form y=mx+c.

In [tex]L_{1}[/tex] y=5x-9, [tex]m_{1}[/tex] =5

In [tex]L_{2}[/tex] , [tex]y=\frac{1}{5}x+6[/tex], [tex]m_{2}[/tex] =[tex]\frac{1}{5}[/tex]

Their product [tex]m_{1}[/tex][tex]m_{2}[/tex] = 1,

Therefore the lines are neither parallel nor perpendicular.

Determine whether the line Upper L 1L1 whose equation is yequals=5 x minus 95x−9 and the line Upper L 2L2 whose equation is yequals=one fifth x plus 6 1 5x+6 are​ parallel, perpendicular, or neither.

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Determine whether the line Upper L 1L1 whose equation is yequals=5 x minus 95x−9 and the line Upper L 2L2 whose equation is yequals=one fifth x plus 6 1 5x+6 are parallel, perpendicular, or neither.