Find the slope of the line containing the  points (5,9) and (-1,0)








The slope of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is calculated using the formula:

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

Given the points \((5, 9)\) and \((-1, 0)\), we can assign:

- \(x_1 = 5\), \(y_1 = 9\)
- \(x_2 = -1\), \(y_2 = 0\)

Plugging these values into the formula:

\[
m = \frac{0 - 9}{-1 - 5} = \frac{-9}{-6} = \frac{3}{2}
\]

So, the slope of the line is:

\[
m = \frac{3}{2}
\]

Would you like a detailed breakdown or have any questions? 

Here are 5 related questions to consider:

1. How do you find the y-intercept of a line given its slope and one point?
2. What is the equation of a line in slope-intercept form?
3. How do you find the distance between two points?
4. How do you determine if two lines are parallel?
5. How do you find the midpoint of a line segment?

**Tip:** When finding the slope of a line, if the denominator is zero, the line is vertical and its slope is undefined.

Find the slope of the line containing the points (5,9) and (-1,0).

Learn how to calculate the slope of a line passing through the points (5,9) and (-1,0) using the slope formula. This step-by-step solution explains the key concepts of slope and linear equations, suitable for students in Grades 7-9.

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