Respuesta :

Answer:

The slope of line G is [tex]\dfrac{- 9}{7}[/tex]  .

Step-by-step explanation:

Given as :

The points of the line CH contains

C = [tex]x_1[/tex] ,  [tex]y_1[/tex] = - 2 , 6

H = [tex]x_2[/tex] ,  [tex]y_2[/tex] = 5 , -3

Let The slop of line CH = G

Now, slope of line is

G = [tex]\dfrac{y_2 - y_1}{x_2-x_1}[/tex]

i.e G = [tex]\dfrac{- 3 - 6}{5 -(-2)}[/tex]

Or, G = [tex]\dfrac{- 9}{5 +2}[/tex]

Or,G = [tex]\dfrac{- 9}{7}[/tex]

So, The slope of the line CH = G = [tex]\dfrac{- 9}{7}[/tex]

Hence, The slope of line G is [tex]\dfrac{- 9}{7}[/tex]  . Answer