Answer:
(-3, -5)
Explanation:
Given the function:
[tex]y+5=-2(x+3)[/tex]First, make y the subject of the equation.
[tex]y=-2(x+3)-5[/tex]To choose a point that lies on the line, we test the x-values and see if we get the corresponding y-value.
[tex]\begin{gathered} \text{ At }x=-3, \\ y=-2\left(-3+3\right)-5 \\ =-2\left(0\right)-5 \\ =0-5 \\ =-5 \end{gathered}[/tex]Since the y-value corresponds to the point (-3, -5), the point that lies on the function is (-3, -5).
