Math Problem Statement

slove

Find the slope of the line passing through the points (-8, -3) and (-1, -2).

Solution

To find the slope of the line passing through two points, you can use the slope formula:

slope=y2y1x2x1\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}

Here, the points given are (8,3)(-8, -3) and (1,2)(-1, -2).

Let:

  • (x1,y1)=(8,3)(x_1, y_1) = (-8, -3)
  • (x2,y2)=(1,2)(x_2, y_2) = (-1, -2)

Now, substitute the values into the slope formula:

slope=2(3)1(8)=2+31+8=17\text{slope} = \frac{-2 - (-3)}{-1 - (-8)} = \frac{-2 + 3}{-1 + 8} = \frac{1}{7}

So, the slope of the line is 17\frac{1}{7}.

Would you like further clarification on this, or do you have any other questions?

Here are 5 related questions you might find helpful:

  1. How do you interpret the slope of a line in terms of real-world applications?
  2. What is the slope of a vertical line?
  3. How can you find the equation of a line if you are given the slope and one point?
  4. How does the slope formula change if the points are identical?
  5. Can a slope be negative, and what does it represent in a graph?

Tip: The slope tells you how steep a line is. A positive slope means the line rises as you move to the right, while a negative slope means it falls.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Coordinate Geometry

Formulas

Slope formula: (y2 - y1) / (x2 - x1)

Theorems

-

Suitable Grade Level

Grades 7-9