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 $m = \frac{y_2 - y_1}{x_2 - x_1}$.