Answer:
Step-by-step explanation:
y = (2/3)x + 1
m = 2/3
The slope of the perpendicular line = -1/m
[tex]Slope = \dfrac{-1}{\dfrac{2}{3}}=-1*\dfrac{3}{2}=\dfrac{-3}{2}\\\\\\(6,-7) ; \ x_{1}= 6 \ ; y_{1} = -7\\\\\\Equation: y-y_{1}=m(x-x_{1})\\\\\\y -[-7] = \dfrac{-3}{2}(x - 6)\\\\\\y + 7 = \dfrac{-3}{2}x - 6*\dfrac{-3}{2}\\\\y +7=\dfrac{-3}{2}x+9\\\\y = \dfrac{-3}{2}x+9-7\\\\y =\dfrac{-3}{2}x+2[/tex]
