Find the slope and the​ y-intercept of the line with the following equation.

yequals=five sixths56xminus−2

The equation you provided is:

\[
y = \frac{5}{6}x - 2
\]

This is in **slope-intercept form** \(y = mx + b\), where:

- \(m\) is the slope
- \(b\) is the y-intercept.

From the equation:

- The **slope** (\(m\)) is \(\frac{5}{6}\).
- The **y-intercept** (\(b\)) is \(-2\).

### Summary:
- **Slope**: \(\frac{5}{6}\)
- **y-intercept**: \(-2\) (The point \((0, -2)\)).

Would you like more details or have any questions?

### Follow-up questions:
1. How do you convert a linear equation to slope-intercept form?
2. What is the geometric interpretation of the slope?
3. How can we find the slope if given two points on a line?
4. How does the y-intercept affect the position of a line on a graph?
5. Can a line have a zero slope, and what would that look like?

### Tip:
To find the slope from two points \((x_1, y_1)\) and \((x_2, y_2)\), use the formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\).

Find the slope and the y-intercept of the line with the following equation: y = (5/6)x - 2

Learn how to find the slope and y-intercept of the linear equation y = (5/6)x - 2. This problem explains key concepts such as slope-intercept form and how to interpret the slope and y-intercept geometrically. Suitable for students in Grades 6-8.

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