Math Problem Statement

Graph the equation y=-2x-7

Solution

Here is the graph of the equation y=2x7y = -2x - 7. The line has a slope of -2, indicating that it decreases as xx increases, and the y-intercept is at 7-7, where the line crosses the y-axis.

Would you like more details or have any questions?

Here are 5 related questions to explore:

  1. What is the slope and y-intercept of the line?
  2. How do you find the x-intercept of a linear equation?
  3. What does the slope tell you about the steepness of the line?
  4. How would the graph change if the equation was y=2x7y = 2x - 7?
  5. Can you determine the equation of a line given a graph?

Tip: The slope of a line describes how much yy changes for each unit change in xx; a negative slope means the line slopes downward.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Graphing
Slope-Intercept Form

Formulas

y = mx + b (Slope-Intercept Form)

Theorems

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Suitable Grade Level

Grades 8-10