Math Problem Statement

Complete the table of ordered pairs for the given linear equation: y = -x + 5. What is the value of y when x = 0?

Solution

The given equation is y=x+5y = -x + 5, and we are asked to find the corresponding value of yy when x=0x = 0.

Substitute x=0x = 0 into the equation:

y=(0)+5=5y = -(0) + 5 = 5

So, when x=0x = 0, y=5y = 5.

The ordered pair for the table is: (0,5)(0, 5)

Would you like to see a detailed explanation or have any other questions?

Here are 5 related questions to extend this topic:

  1. What would be the value of yy when x=1x = 1?
  2. How would the graph of this equation look like?
  3. Can you find the slope and y-intercept from the equation y=x+5y = -x + 5?
  4. What is the equation of the line if the slope changes to 22?
  5. What are the x-intercept and y-intercept of this line?

Tip: The slope-intercept form of a line is y=mx+by = mx + b, where mm is the slope, and bb is the y-intercept.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Ordered Pairs

Formulas

y = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 7-9