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 y=3x+3y = -3x + 3, and we need to complete the table for x=2x = 2 by solving for yy.

Given x=2x = 2, substitute into the equation:

y=3(2)+3y = -3(2) + 3 y=6+3y = -6 + 3 y=3y = -3

Thus, when x=2x = 2, y=3y = -3. The corresponding ordered pair is (2,3)(2, -3).

Would you like to go over more details or ask any questions?

Here are five related questions to expand on this concept:

  1. What would the value of yy be if x=1x = -1 in the equation y=3x+3y = -3x + 3?
  2. Can you describe how to graph this linear equation using its slope and y-intercept?
  3. How does changing the slope in the equation affect the steepness of the line?
  4. What does the y-intercept of y=3x+3y = -3x + 3 represent on the graph?
  5. 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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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