Question

Choose A Point Below That Lies On The Function Y+5=-2(X+3)(-3, -5) (3,5) (-2,-3)(-5,3)

Answer 1

(-3, -5)

Step-by-step explanation:

Given the function:

`y+5=-2(x+3)`

First, make y the subject of the equation.

`y=-2(x+3)-5`

To choose a point that lies on the line, we test the x-values and see if we get the corresponding y-value.

`\begin{gathered} \text{ At }x=-3, \\ y=-2\left(-3+3\right)-5 \\ =-2\left(0\right)-5 \\ =0-5 \\ =-5 \end{gathered}`

Since the y-value corresponds to the point (-3, -5), the point that lies on the function is (-3, -5).