Answer:
Therefore the value of y is -8.
(-6,-8)
Step-by-step explanation:
Given:
Let,
point A( x₁ , y₁) ≡ ( -6 , y)
point B( x₂ , y₂) ≡ (6 , -11)
[tex]Slope(AB) = m =\dfrac{-1}{4}[/tex]
To Find:
y = ?
Solution:
Slope between two Points A( x₁ , y₁) and B( x₂ , y₂) is given as
[tex]Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Substituting the values we get
[tex]\dfrac{-1}{4}=\dfrac{-11-y}{6-(-6)}=\dfrac{-11-y}{12}\\\\-3=-11-y\\y=-11+3=-8\\\therefore y=-8[/tex]
Therefore the value of y is -8.
