The slope-intercept form of a line is given by:

$y = mx + b$

Where:

• $m$ is the slope
• $b$ is the y-intercept

For $m = -2$ and $b = \frac{9}{8}$, substitute these values into the formula:

$y = -2x + \frac{9}{8}$

Thus, the equation of the line is:

$y = -2x + \frac{9}{8}$

Would you like further details or examples?

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Related Questions:

1. How do you graph a line given its slope-intercept equation?
2. What is the relationship between slope and the steepness of a line?
3. How do you convert a slope-intercept equation into standard form?
4. What happens to the graph if you change the slope or y-intercept?
5. How do you find the slope-intercept equation of a line given two points?

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Tip: Always verify the slope $m$ by checking the rise over run between points on a graph.