which graph shows a negative correlation?

Explanation:

Step1: Recall negative - correlation concept

In a negative - correlation, as the value of the independent variable ($x$) increases, the value of the dependent variable ($y$) generally decreases.

Step2: Analyze first graph

In the first graph, as $x$ increases from 1 to 9, the $y$ - values do not show a consistent decrease. There is no clear trend of $y$ decreasing as $x$ increases.

Step3: Analyze second graph

In the second graph, as $x$ increases from 1 to 9, the $y$ - values generally decrease. For example, when $x = 1$, $y$ is around 9, and as $x$ gets larger, $y$ gets smaller.

Answer:

The second graph shows a negative correlation.