Question

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

Answer 1

No, the point (–7, –9) does not satisfy the equation y = –2x − 5.

Step-by-step explanation:

Yes, the point (–7, –9) satisfies the equation y = –2x − 5.

To check if a given point satisfies an equation, you substitute the values of the coordinates into the equation and see if it holds true.

Let's substitute the values of x and y into the given equation:

y = -2x - 5

-9 = -2(-7) - 5

-9 = 14 - 5

-9 = 9

Since -9 is not equal to 9, the equation does not hold true.

So, the correct answer is no.

Answer 2

The given equation is:

`y=-2x-5`

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:

`\begin{gathered} y=-2x-5;x=-7,y=-9 \\ \Rightarrow-9=-2(-7)-5 \\ \Rightarrow-9=14-5 \\ \Rightarrow-9=9 \end{gathered}`

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