Answer :
The given equation is:
[tex]y=-2x-5[/tex]The given point is (-7,-9).
To check if the point satisfies the equation, substitute the x and y values of the point into the equation and check if it gives an identity, that is, the right-hand side equals the left-hand side.
Substitute the point (x,y)=(-7,-9) into the equation:
[tex]\begin{gathered} y=-2x-5;x=-7,y=-9 \\ \Rightarrow-9=-2(-7)-5 \\ \Rightarrow-9=14-5 \\ \Rightarrow-9=9 \end{gathered}[/tex]Notice that the equation is false as it is not an identity (negative 9 is not positive 9).
It follows that the point (-7,-9) does not satisfy the given equation.
No, the point (-7,-9) does not satisfy the equation y=-2x-5