Math Problem Statement
Complete the tables, and graph the corresponding ordered pairs for the equation y = -3x + 3, given x = 2.
Solution
The equation provided is , and we need to complete the table for by solving for .
Given , substitute into the equation:
Thus, when , . The corresponding ordered pair is .
Would you like to go over more details or ask any questions?
Here are five related questions to expand on this concept:
- What would the value of be if in the equation ?
- Can you describe how to graph this linear equation using its slope and y-intercept?
- How does changing the slope in the equation affect the steepness of the line?
- What does the y-intercept of represent on the graph?
- How would you verify the points by graphing the equation?
Tip: When graphing a linear equation, always start by plotting the y-intercept and then use the slope to find other points.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Coordinate Geometry
Slope-Intercept Form
Formulas
y = mx + b
Theorems
Slope-Intercept Form of a Line
Suitable Grade Level
Grades 6-8