Question

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

Answer 1

   The equation in point slope is $y-3=6(x-8)$ 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,

                                $Slope,m=\frac{y_{2}-y_{1} } {x_{2}- x_{1} }$ ..................(1)

          Here,  $(x_{1} ,y_{1} )$ and  $(x_{2} ,y_{2} )$ are points and slope (m)

Step:2

          From given,

                               $(x_{1} ,y_{1} )$ - (8, 3)

                               $(x_{2} ,y_{2} )$ - (x, y)

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

                                         $6=\frac{y-8 } {x- 3 }$

         Take (${x- 8 }$) in left side,

                              $6(x-3)=(y-3)$

                               $(y-3)=6(x-3)$

Result:

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