The table of values shows a linear relationship between x and y. 
 
x	y
-7	9
-2	1
3	-7
8	-15

What is the slope of the line represented by the table of values?
A.−85

B.−58

C.85

D.58


To determine the slope of the line from the table of values, 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.

Using the points \( (-7, 9) \) and \( (3, -7) \):

\[
m = \frac{{-7 - 9}}{{3 - (-7)}} = \frac{{-16}}{{3 + 7}} = \frac{{-16}}{{10}} = -\frac{8}{5}
\]

Thus, the slope is \( -\frac{8}{5} \), which corresponds to option **B. \(-\frac{8}{5}\)**.

Would you like more details on this process or have any questions?

Here are 5 related questions:
1. How do you find the slope when given two points?
2. What is the significance of a negative slope in a graph?
3. How would the line look graphically based on this slope?
4. Can the slope be calculated using any two points from the table?
5. What is the slope-intercept form of the equation for this line?

**Tip:** The slope tells you how much \(y\) changes for every 1-unit change in \(x\).

The table of values shows a linear relationship between x and y.

x	y
-7	9
-2	1
3	-7
8	-15

What is the slope of the line represented by the table of values?
A. −85
B. −58
C. 85
D. 58

Learn how to calculate the slope of a line from a table of values with x and y coordinates. This example uses points (-7, 9) and (3, -7) to demonstrate the slope formula and how to interpret a negative slope. 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