Math Problem Statement

Graph the line y = -2x - 3.

Solution

Here is the graph of the line represented by the equation y=2x3y = -2x - 3. The line has a slope of -2, meaning it decreases by 2 units for every 1 unit increase in xx, and its y-intercept is -3, where it crosses the y-axis.

Would you like a more detailed explanation on how to graph this or any other part of the process?

Here are some related questions:

  1. How do you find the slope and intercept from a linear equation?
  2. What are the steps to manually graph a line based on its equation?
  3. How do you find the x-intercept for a given line equation?
  4. How does the slope affect the steepness of the line?
  5. What is the difference between a positive and negative slope?

Tip: When graphing lines, always label important points like the intercepts to help visualize the equation's behavior.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form

Formulas

y = mx + b (slope-intercept form)
Slope = -2, y-intercept = -3

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 8-10