Respuesta :

Answer:

The equation of line in point slop from is

y - 8 = -[tex]\frac{2}{3}[/tex] × (x + 3 )

Step-by-step explanation:

Given slop-intercept line equation as :

y = -[tex]\frac{2}{3}[/tex]x + 6

I.e y = mx + c

and point the line is passing through ( -3 , 8 )

So, point slop form of this line is

y - y_1 = m × (x - x_1)

Slop of above line is - [tex]\frac{2}{3}[/tex]

Now line passes through given points and this slop is

y - 8 = - [tex]\frac{2}{3}[/tex] × (x + 3 )

Hence the equation of line in point slop from is

y - 8 = - [tex]\frac{2}{3}[/tex] × (x + 3 )    Answer