We are given that the line passes through the points (6, 7) and (5, 12). Let 
(x1, y1) = (6, 7).
Therefore, 
(x2, y2) = 

5, 
 

.

It looks like you're trying to determine the second point \((x_2, y_2)\) on a line that passes through the points \((6, 7)\) and \((5, y_2)\).

Given that \((x_2, y_2)\) is \((5, 12)\), we have:

\[
(x_2, y_2) = (5, 12)
\]

Let me know if you'd like further details on this or if you want to calculate the slope of the line.

Here are 5 questions to expand on this topic:
1. What is the slope of the line passing through these points?
2. How would you write the equation of the line in slope-intercept form?
3. Can you determine the midpoint of the line segment joining the two points?
4. What is the distance between the two points \((6, 7)\) and \((5, 12)\)?
5. How would you find the perpendicular bisector of the line segment between these points?

**Tip:** The slope formula is given by \(\frac{y_2 - y_1}{x_2 - x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are two points on the line.

We are given that the line passes through the points (6, 7) and (5, 12). Let (x1, y1) = (6, 7). Therefore, (x2, y2) = 5, .

This problem helps you find the line passing through the points (6, 7) and (5, 12). Learn how to calculate the slope, write the equation in slope-intercept form, and determine the midpoint and distance between the two points. Suitable for students in Grades 8-10.

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