Write an equation in point slope from for the line through the given point which the given slope
(8,3) m=6

A. Y+3=6(x-8)
B. Y-3=6( x-8)
C. Y-3=6(x+8)
D. Y+3=6x+8

Respuesta :

   The equation in point slope is [tex]y-3=6(x-8)[/tex] which is mentioned in option C If the line through the given point which the given slope (8,3), m=6.

Step-by-step explanation:

The given is,

                   The point - ( 8,3 )

                    Slope, m = 6

Step:1

          Formula for slope of line is,

                                [tex]Slope,m=\frac{y_{2}-y_{1} } {x_{2}- x_{1} }[/tex] ..................(1)

          Here,  [tex](x_{1} ,y_{1} )[/tex] and  [tex](x_{2} ,y_{2} )[/tex] are points and slope (m)

Step:2

          From given,

                               [tex](x_{1} ,y_{1} )[/tex] - (8, 3)

                               [tex](x_{2} ,y_{2} )[/tex] - (x, y)

         Substitute the values of points and slope in  the equation (1),

                                         [tex]6=\frac{y-8 } {x- 3 }[/tex]

         Take ([tex]{x- 8 }[/tex]) in left side,

                              [tex]6(x-3)=(y-3)[/tex]

                               [tex](y-3)=6(x-3)[/tex]

Result:

           The equation in point slope is [tex]y-3=6(x-8)[/tex] which is mentioned in option C If the line through the given point which the given slope (8,3), m=6.

                                       

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