The equation you provided is:

\[
3x + 17y - 1 = 0
\]

This is a linear equation in two variables, \(x\) and \(y\). To better understand the relationship between \(x\) and \(y\), we can rearrange it into slope-intercept form (\(y = mx + b\)), where \(m\) is the slope and \(b\) is the y-intercept.

To isolate \(y\):

\[
3x + 17y = 1
\]
\[
17y = -3x + 1
\]
\[
y = \frac{-3}{17}x + \frac{1}{17}
\]

So the equation becomes:
\[
y = -\frac{3}{17}x + \frac{1}{17}
\]

This represents a straight line with a slope of \(-\frac{3}{17}\) and a y-intercept of \(\frac{1}{17}\).

### Do you have any questions or would you like more details?

Here are 5 related questions to explore:
1. How do you calculate the slope of a line from two points?
2. What is the general form of a linear equation?
3. How can you find the x-intercept of this equation?
4. What does the slope represent in a real-world context?
5. How would you graph this linear equation?

**Tip:** When graphing a line, start with the y-intercept and use the slope to find additional points.

Explore how to solve the linear equation 3x + 17y - 1 = 0 by converting it into slope-intercept form. This problem covers key algebra concepts, including determining the slope and y-intercept. Suitable for students in Grades 8-10.

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