Theequationoflinebis y

To determine the slope of line $c$, let's start by examining the given information.

The equation of line $b$ is: $y = -\frac{9}{2}x + 9$

In this equation, the slope is the coefficient of $x$. Thus, the slope of line $b$ is: $-\frac{9}{2}$

Since line $c$ is parallel to line $b$, it must have the same slope. Therefore, the slope of line $c$ is also: $-\frac{9}{2}$

Answer: The slope of line $c$ is $-\frac{9}{2}$.

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Related Questions:

1. What is the slope of a line perpendicular to line $b$?
2. If line $c$ passes through the point $(4, 5)$, what is its equation?
3. How do you find the equation of a line given a slope and a point on the line?
4. Can two lines with different y-intercepts still be parallel?
5. How does the slope-intercept form $y = mx + b$ help identify parallel lines?

Tip:

Parallel lines always have the same slope, so if two lines are parallel, their slopes will be equal.