Math Problem Statement

Complete the table for the equation y = 3x - 4 for values of x from 0 to 3.

Solution

To complete the table for the equation y=3x4y = 3x - 4, we calculate yy for each value of xx. Let’s calculate step by step:

  1. For x=0x = 0: y=3(0)4=4y = 3(0) - 4 = -4

  2. For x=1x = 1: y=3(1)4=34=1y = 3(1) - 4 = 3 - 4 = -1

  3. For x=2x = 2: y=3(2)4=64=2y = 3(2) - 4 = 6 - 4 = 2

  4. For x=3x = 3: y=3(3)4=94=5y = 3(3) - 4 = 9 - 4 = 5

Completed Table:

xx0123
yy-4-125

Would you like further explanation or a graph of this function?


Related Questions:

  1. What is the slope and y-intercept of the equation y=3x4y = 3x - 4?
  2. How does the value of yy change as xx increases?
  3. Can you rewrite y=3x4y = 3x - 4 in standard form Ax+By=CAx + By = C?
  4. How can you graph this function using the table values?
  5. What is the equation of the line parallel to y=3x4y = 3x - 4 passing through the point (1,2)(1, 2)?

Tip:

When completing tables for linear equations, remember that the changes in yy are proportional to the changes in xx, determined by the slope.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Algebra
Slope-Intercept Form

Formulas

y = mx + b

Theorems

Slope-Intercept Form of a Linear Equation

Suitable Grade Level

Grades 6-8