What is the slope of the line through \[(-1,8)\] and \[(3,-4)\]?
Choose 1 answer:
Choose 1 answer:
(Choice A)

\[\dfrac{1}3\]
A

\[\dfrac{1}3\]
(Choice B)   \[3\]
B
\[3\]
(Choice C)   \[-3\]
C
\[-3\]
(Choice D)

\[-\dfrac{1}3\]
D

\[-\dfrac{1}3\]

To find the slope of the line that passes through the points \((-1, 8)\) and \((3, -4)\), you can use the slope formula:

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

Substituting the given points \((-1, 8)\) and \((3, -4)\):

\[
\text{slope} = \dfrac{-4 - 8}{3 - (-1)} = \dfrac{-12}{4} = -3
\]

So, the correct answer is:

\[
\boxed{-3}
\]

Would you like more details or have any questions?

Here are 5 related questions to further your understanding:

1. What is the slope-intercept form of the line passing through the points \((-1, 8)\) and \((3, -4)\)?
2. How do you find the equation of the line given two points?
3. Can the slope of a vertical line be defined? If not, why?
4. What is the significance of a positive vs. negative slope in the context of a line on a graph?
5. How would you find the midpoint of the segment connecting \((-1, 8)\) and \((3, -4)\)?

**Tip:** The slope of a line represents the rate of change of \(y\) with respect to \(x\). A negative slope indicates that the line is decreasing from left to right.

What is the slope of the line through (-1,8) and (3,-4)?

Learn how to calculate the slope of the line passing through the points (-1, 8) and (3, -4) using the slope formula. This problem involves key concepts in coordinate geometry and is suitable for students in Grades 8-10.

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