What is the slope of the line that passes through the points left parenthesis, 10, comma, 3, right parenthesis(10,3) and left parenthesis, 7, comma, 0, right parenthesis(7,0)? Write your answer in *simplest form*.

To find the slope \( m \) of the line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\), we use the slope formula:

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

Here, the points are \((10, 3)\) and \((7, 0)\), so:

\[
m = \frac{0 - 3}{7 - 10} = \frac{-3}{-3} = 1
\]

Thus, the slope of the line is \( m = 1 \).

Would you like more details or have any further questions?

Here are some related questions to explore:
1. What is the equation of the line that passes through the points \((10, 3)\) and \((7, 0)\)?
2. How do you find the y-intercept of a line if the slope is known?
3. What is the slope of a line parallel to the one passing through these points?
4. How would the slope change if one of the points was modified slightly?
5. How do perpendicular slopes relate to each other in geometry?

**Tip:** When the slope between two points results in \(-3/-3\), remember that negatives cancel, simplifying to a positive slope.

What is the slope of the line that passes through the points (10,3) and (7,0)? Write your answer in simplest form.

Discover how to calculate the slope of the line passing through the points (10,3) and (7,0) with a step-by-step explanation. This algebra problem focuses on using the slope formula and understanding linear relationships, making it ideal for students in Grades 8-10.

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