et *L* be the straight line passing through (36, 80) and (78, 36).

**(a)** The slope of *L* is Answer for part 1

.

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

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

Here, the points given are \((36, 80)\) and \((78, 36)\). Plugging in these values:

\[
m = \frac{36 - 80}{78 - 36} = \frac{-44}{42} = -\frac{22}{21}
\]

Thus, the slope of line \( L \) is \( m = -\frac{22}{21} \).

Would you like further details on this or have any questions?

Here are some related questions:
1. How can the slope help determine the angle of inclination of the line?
2. What is the equation of the line passing through these points?
3. How can the distance between two points be calculated?
4. What happens when two lines have the same slope?
5. How can the midpoint between two points be found?

**Tip:** The slope of a line is a measure of how steep the line is, with positive slopes rising from left to right and negative slopes falling from left to right.

Let L be the straight line passing through (36, 80) and (78, 36). (a) The slope of L is Answer for part 1.

Discover how to calculate the slope of a line passing through the points (36, 80) and (78, 36) using the slope formula. This problem involves key concepts in coordinate geometry and linear equations, ideal for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation