Answer:
(A) (-19,-8)
Step-by-step explanation:
Given that the graph is an inverse variation.
The equation of variation is:
[tex]x=\dfrac{k}{y}[/tex]
Since point (-8, -19) is on the graph
[tex]-8=\dfrac{k}{-19}\\k=152[/tex]
Therefore, the equation connecting x and y is:
[tex]x=\dfrac{152}{y}[/tex]
[tex]\text{When y=-8},x=\dfrac{152}{-8}=-19\\\\\text{When y=19},x=\dfrac{152}{19}=8\\\\\text{When y=8},x=\dfrac{152}{8}=19\\\\\text{When y=-19},x=\dfrac{152}{-19}=-8[/tex]
Therefore, the point that is also on the graph is:
(A) (-19,-8)
