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