Line *e* passes through points (8, 4) and (5, 6). Line *f* is parallel to line *e*. What is the slope of line *f*?

*Simplify your answer and write it as a proper fraction, improper fraction, or integer.*

To find the slope of line *e*, we use the formula for the slope between two points \((x_1, y_1)\) and \((x_2, y_2)\), which is:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Given the points \((8, 4)\) and \((5, 6)\), we can assign:

\[
(x_1, y_1) = (8, 4) \quad \text{and} \quad (x_2, y_2) = (5, 6)
\]

Now substitute the coordinates into the slope formula:

\[
m = \frac{6 - 4}{5 - 8} = \frac{2}{-3} = -\frac{2}{3}
\]

Since line *f* is parallel to line *e*, the slopes of both lines are the same. Therefore, the slope of line *f* is also:

\[
\boxed{-\frac{2}{3}}
\]

Would you like more details or have any questions?

Here are some related questions to consider:
1. What is the equation of line *e*?
2. How do you find the slope of a perpendicular line to *e*?
3. What are the coordinates of the midpoint between points (8, 4) and (5, 6)?
4. If line *f* passes through a different point, how would you write its equation?
5. How do you calculate the distance between the two points on line *e*?

**Tip**: Parallel lines always have the same slope, regardless of where they are located on the coordinate plane!

Line *e* passes through points (8, 4) and (5, 6). Line *f* is parallel to line *e*. What is the slope of line *f*? Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Learn how to find the slope of line *f*, which is parallel to line *e* passing through points (8, 4) and (5, 6). This problem uses the slope formula and reinforces the concept that parallel lines have equal slopes. Suitable for students in Grades 7-9.

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