Math Problem Statement
Graph the line y = -2x - 3.
Solution
Here is the graph of the line represented by the equation . The line has a slope of -2, meaning it decreases by 2 units for every 1 unit increase in , 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:
- How do you find the slope and intercept from a linear equation?
- What are the steps to manually graph a line based on its equation?
- How do you find the x-intercept for a given line equation?
- How does the slope affect the steepness of the line?
- 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