To write the equation of a line in slope-intercept form $y = mx + b$, you need the slope ($m$) and the y-intercept ($b$).

From the given problem:

• The slope $m = -\frac{7}{6}$
• The y-intercept $b = -2$

Substitute these values into the slope-intercept form:

$y = -\frac{7}{6}x - 2$

Thus, the equation is:

$y = -\frac{7}{6}x - 2$

Would you like a more detailed explanation of this process? Let me know!

Here are 5 related questions for further exploration:

1. How do you derive the slope-intercept form equation if two points are given instead of the slope and y-intercept?
2. What is the meaning of the slope in a real-world context?
3. How can you rewrite a slope-intercept equation into standard form?
4. What happens to the line if the slope becomes positive but the y-intercept remains the same?
5. How do you graph a line using only its slope-intercept form?

Tip: When graphing a line from the slope-intercept form, the y-intercept provides a starting point, and the slope indicates how the line "rises" or "runs" from that point.