Here is the graph with the points $(-1,7)$ and $(1,-1)$ plotted, connected by a dashed red line. The x-axis and y-axis are also marked to help visualize the position of these points in relation to the origin.

Would you like further details on this graph, or do you have any questions?

Here are some related questions to expand on this topic:

1. What is the slope of the line connecting these two points?
2. How would you find the midpoint of the line segment connecting these points?
3. What is the distance between the points $(-1,7)$ and $(1,-1)$?
4. How can we determine if these points lie on a specific linear equation?
5. How can the line passing through these points be represented as a linear equation?

Tip: The slope between two points $(x_1, y_1)$ and $(x_2, y_2)$ can be calculated as $\frac{y_2 - y_1}{x_2 - x_1}$.