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The question asks to find the equation of a line parallel to the given line:

\[
y = \frac{3x - 8}{5}
\]

For two lines to be parallel, they must have the same slope. In the given equation, \( y = \frac{3x - 8}{5} \), the slope (m) can be identified as \( m = \frac{3}{5} \).

Now, we check the options to find which one has the same slope:

A) \( y = 5x + 4 \) → Slope is 5 (Not parallel).
B) \( y = \frac{3x + 11}{5} \) → Slope is \( \frac{3}{5} \) (Parallel).
C) \( y = \frac{-5x - 16}{3} \) → Slope is \( \frac{-5}{3} \) (Not parallel).

Thus, the correct answer is **Option B**.

Would you like a detailed breakdown or further explanation on slopes and parallel lines?

Here are 5 related questions to deepen your understanding:
1. How do we calculate the slope from a linear equation?
2. What condition must hold for two lines to be perpendicular?
3. How do you convert an equation from point-slope form to slope-intercept form?
4. Can a vertical line be parallel to a non-vertical line? Why or why not?
5. How can we find the equation of a line that passes through a point and is parallel to a given line?

**Tip:** Always compare slopes when checking for parallelism between two lines!

La ecuación de una recta paralela a la recta y = (3x - 8)/5 corresponde a:

Solve a linear algebra problem by finding the equation of a line parallel to y = (3x - 8)/5. Learn how to compare slopes to determine parallelism. Ideal for students in Grades 9-11.

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