
With a=(3,5), b=(-2,3), c=(-2,2), find the slope of=BC.




To find the slope of line \( BC \), where \( B = (-2,3) \) and \( C = (-2,2) \), we use the slope formula:

\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]

Substituting the coordinates of points \( B \) and \( C \):

\[
\text{slope of } BC = \frac{2 - 3}{-2 - (-2)} = \frac{-1}{0}
\]

Since the denominator is 0, the slope is undefined. This indicates that line \( BC \) is a vertical line.

Would you like more details or have any questions about this?

Here are five related questions you might find helpful:
1. What does it mean for a line to have an undefined slope?
2. How do you identify if a line is vertical or horizontal from its slope?
3. What is the equation of a vertical line passing through point \( B \)?
4. How does the slope formula change for horizontal lines?
5. Can two different points on the same vertical line have the same slope?

**Tip:** A vertical line always has an undefined slope because the change in \( x \) is zero, which results in division by zero.

Learn how to find the slope of line BC with points A=(3,5), B=(-2,3), and C=(-2,2). This problem covers the basics of coordinate geometry, specifically calculating the slope using the slope formula. Suitable for students in Grades 7-9.

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