The points represented by the table lie on a line. 

A table shows the different values of x for y. X values: Negative 9, negative 5, negative 1, 3. Y values: negative 2, 0, 2, 4.

What is the slope of the line?

To find the slope of the line that passes through the points given in the table, we use the slope formula:

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

where \( (x_1, y_1) \) and \( (x_2, y_2) \) are two points on the line. Let's choose two points from the table, say \( (-9, -2) \) and \( (-5, 0) \).

### Step 1: Calculate the slope
\[
m = \frac{0 - (-2)}{-5 - (-9)} = \frac{2}{4} = \frac{1}{2}
\]

The slope of the line is \( \frac{1}{2} \).

Would you like to see a more detailed explanation or have any other questions?

### Related Questions:
1. How would the slope change if the points were different?
2. What does a slope of \( \frac{1}{2} \) indicate about the line?
3. Can you find the equation of the line using the slope and one point?
4. What would the y-intercept of this line be?
5. How can you determine if other points lie on this line?

### Tip:
Remember, the slope represents the rate of change in \( y \) for a unit change in \( x \). If the slope is positive, the line rises from left to right. If it’s negative, the line falls from left to right.

The points represented by the table lie on a line. X values: Negative 9, negative 5, negative 1, 3. Y values: negative 2, 0, 2, 4. What is the slope of the line?

Learn how to find the slope of a line using the given table of values for X and Y: (-9, -2), (-5, 0), (-1, 2), and (3, 4). This problem teaches the slope formula, a core concept in linear equations, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation