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.