What is the slope of the line that passes through the points left parenthesis, 2, comma, minus, 3, right parenthesis(2,−3) and left parenthesis, 1, comma, minus, 2, right parenthesis(1,−2)? Write your answer in simplest form.

To find the slope of the line that passes through the points \((2, -3)\) and \((1, -2)\), you can use the slope formula:

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

Here, \((x_1, y_1) = (2, -3)\) and \((x_2, y_2) = (1, -2)\). Substituting the values into the formula:

\[
\text{Slope} = \frac{-2 - (-3)}{1 - 2}
\]

Simplify the numerator and denominator:

\[
\text{Slope} = \frac{-2 + 3}{1 - 2} = \frac{1}{-1} = -1
\]

So, the slope of the line is \(\boxed{-1}\).

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. How do you find the equation of the line passing through the same points?
2. What is the midpoint of the line segment between these two points?
3. How would the slope change if one of the points was moved?
4. Can you calculate the distance between these two points?
5. What is the slope of a line parallel to this one?

**Tip:** The slope of a line is a measure of its steepness. A negative slope means the line goes downwards as it moves from left to right.

What is the slope of the line that passes through the points (2,−3) and (1,−2)? Write your answer in simplest form.

Discover how to calculate the slope of a line passing through the points (2, -3) and (1, -2) using the slope formula. This problem involves key concepts from algebra and coordinate geometry, suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation