Math Problem Statement

3x+y=0 slope

Solution

The equation 3x+y=03x + y = 0 can be written in slope-intercept form (y=mx+by = mx + b) to identify the slope (mm).

Step 1: Solve for yy

3x+y=0y=3x3x + y = 0 \quad \Rightarrow \quad y = -3x

Step 2: Identify the slope

From y=3xy = -3x, the slope (mm) is: 3\boxed{-3}

The slope of the line is -3.


Would you like to see the graph or further explanation?

Here are 5 related questions for you:

  1. What is the y-intercept of 3x+y=03x + y = 0?
  2. How do you find the slope from two points on a line?
  3. What does a negative slope indicate about the direction of the line?
  4. How would the slope change if the equation were 3xy=03x - y = 0?
  5. Can you convert a vertical line equation to slope-intercept form?

Tip: In slope-intercept form y=mx+by = mx + b, the slope (mm) represents how much yy changes for every unit change in xx.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slopes

Formulas

Slope-intercept form y = mx + b

Theorems

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Suitable Grade Level

Grades 7-9