Math Problem Statement

Find the slope based on the given table of values.

Solution

To find the slope based on the table of values provided, we can use the slope formula:

m=y2y1x2x1m = \frac{{y_2 - y_1}}{{x_2 - x_1}}

Let's pick any two points from the table. I'll choose the points (8,10)(-8, -10) and (6,0)(-6, 0).

Now, apply the slope formula:

m=0(10)6(8)=0+106+8=102=5m = \frac{{0 - (-10)}}{{-6 - (-8)}} = \frac{{0 + 10}}{{-6 + 8}} = \frac{{10}}{{2}} = 5

Thus, the slope is 5.

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

Here are some related questions:

  1. What does the slope represent in a graph?
  2. Can the slope formula be applied to vertical or horizontal lines?
  3. How would you interpret a negative slope?
  4. What would happen if two points have the same x-values but different y-values?
  5. How does the slope relate to the steepness of a line?

Tip: When finding the slope, always ensure that the two points you select are distinct and follow the formula accurately.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Slope
Linear Equations

Formulas

m = (y2 - y1) / (x2 - x1)

Theorems

Slope formula

Suitable Grade Level

Grades 7-9