(−6,1) and left parenthesis, 6, comma, 7, right parenthesis(6,7)

It looks like you are referring to two points: \((-6, 1)\) and \((6, 7)\). Based on these points, I can assist with various calculations or interpretations, such as finding the distance between the points, the slope of the line passing through them, the equation of the line, or anything else you're looking to explore.

Here are a few common questions that could be solved using these points:

1. **Distance between the points**: You can use the distance formula:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
2. **Slope of the line**: The slope \(m\) is given by:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
3. **Midpoint**: The midpoint of the line segment connecting the two points is given by:
\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
4. **Equation of the line**: Using the point-slope form of the equation:
\[
y - y_1 = m(x - x_1)
\]
5. **Line segment length**: Determine the length of the line segment between these two points.

Let me know if you'd like to explore any of these calculations!

### Tip:
In geometry, using formulas like the distance or midpoint formula helps you understand the spatial relationship between points on a plane.

Would you like to proceed with any of these?

Learn how to calculate the distance, slope, midpoint, and equation of the line between the points (-6,1) and (6,7) on a coordinate plane. This problem involves key geometric and algebraic concepts such as the distance formula, slope calculation, and linear equations. Suitable for students in Grades 8-10.

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