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The image shows two points: (3, 7) and (5, 8). It seems like you might be asked to calculate something related to these points, such as finding the distance between them, determining the slope of the line that passes through them, or finding the equation of that line.

### Let's solve a few possible tasks:

1. **Slope of the Line Passing Through the Points:**
   The formula for the slope (m) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is:
   \[
   m = \frac{y_2 - y_1}{x_2 - x_1}
   \]
   Substituting the given points (3, 7) and (5, 8):

   \[
   m = \frac{8 - 7}{5 - 3} = \frac{1}{2}
   \]

   So, the slope of the line passing through these points is \(\frac{1}{2}\).

2. **Distance Between the Two Points:**
   The distance (d) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:
   \[
   d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
   \]
   Substituting the given points:

   \[
   d = \sqrt{(5 - 3)^2 + (8 - 7)^2} = \sqrt{2^2 + 1^2} = \sqrt{4 + 1} = \sqrt{5}
   \]

   So, the distance between the points is \(\sqrt{5} \approx 2.24\).

3. **Equation of the Line Passing Through the Points:**
   The equation of a line in point-slope form is:
   \[
   y - y_1 = m(x - x_1)
   \]
   Using the slope \(m = \frac{1}{2}\) and the point (3, 7):

   \[
   y - 7 = \frac{1}{2}(x - 3)
   \]

   Expanding this:

   \[
   y - 7 = \frac{1}{2}x - \frac{3}{2} \implies y = \frac{1}{2}x + \frac{11}{2}
   \]

   So, the equation of the line is \(y = \frac{1}{2}x + \frac{11}{2}\).

Would you like details on one of these solutions, or do you have any other specific questions?

### Related Questions:
1. How would you find the midpoint between the two points?
2. Can you derive the equation of a line in standard form using these points?
3. What is the perpendicular bisector of the line segment connecting these points?
4. How do you calculate the area of a triangle if a third point is added?
5. What is the reflection of these points across the y-axis?

**Tip:** Always check your formulas and make sure to substitute values carefully to avoid mistakes.

Given two points (3, 7) and (5, 8), find the slope of the line passing through them, the distance between them, and the equation of the line.

Learn how to find the slope of a line, calculate the distance between two points, and determine the equation of the line passing through points (3, 7) and (5, 8). This problem covers core concepts in coordinate geometry, including the slope formula, distance formula, and point-slope form of a line. Suitable for students in Grades 9-10.

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