Math Problem Statement

Determine the slope of the line graphed below:

-3/2

3/4

3/2

-2/3

2/3

Solution

The slope of a line, typically represented by mm, is calculated using the formula:

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

where (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) are two points on the line.

However, you've provided multiple slope options (-3/2, 3/4, 3/2, -2/3, and 2/3) without a specific graph. Please share the graph or give more details, so I can help you determine the slope more accurately.

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Relative Questions:

  1. How is the slope of a line related to the rise and run between two points?
  2. What does a positive slope indicate about the direction of a line?
  3. How does the formula for slope differ for horizontal or vertical lines?
  4. Can a line have the same slope as another line but a different intercept?
  5. How does the slope affect the steepness of a line?

Tip: For any line, a positive slope indicates it rises from left to right, while a negative slope means it falls from left to right.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope

Formulas

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

Theorems

Slope-Intercept Form

Suitable Grade Level

Grades 7-10