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Does the point (–7, –9) satisfy the equation y = –2x − 5? yes or no ?

Sagot :

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

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