Theequationoflinebis
y
 = 
–9
2
x
 + 	9
.	 	Line
cisparalleltoline
b	.	 	What
istheslopeofline
c	?


Simplify your answer and write it as a proper fraction, improper fraction, or integer.


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.

The equation of line b is y = -9/2x + 9. Line c is parallel to line b. What is the slope of line c? Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Determine the slope of line c, given that it is parallel to line b with equation y = -9/2x + 9. Learn how parallel lines have equal slopes and practice using the slope-intercept form y = mx + b. Ideal for Grades 8-10.

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