Notice that the points (4,-10) and (7,-30) are very close to the line, then the slope of the line that passes through those points is a good approximation of the slope of the given line.
Using the two points formula for the slope of a line we get:
![s=(-30-(-10))/(7-4)=-(20)/(3)\approx-6.67.](https://img.qammunity.org/2023/formulas/mathematics/college/mwyinkd5wr21nl0mq27i1aosvmi1hz4g47.png)
Therefore the slope of the given line is close to -6.67.
Answer: Option A.