Math Problem Statement

Given the equation y=-3x+2.5, answer the following:

Part A: When x is 1, what value of y makes the equation true?

Solution

To find the value of yy when x=1x = 1, substitute x=1x = 1 into the equation y=3x+2.5y = -3x + 2.5:

y=3(1)+2.5=3+2.5=0.5y = -3(1) + 2.5 = -3 + 2.5 = -0.5

So, when x=1x = 1, y=0.5y = -0.5.

Would you like more details or further clarification?

Here are 5 related questions:

  1. What happens to the value of yy as xx increases?
  2. How would the equation change if the slope were positive?
  3. What is the slope of the line represented by this equation?
  4. At what value of xx does yy equal 0?
  5. Can you graph this equation and identify its intercepts?

Tip: The slope of a line tells you how steep it is; in this case, a slope of -3 indicates the line is decreasing as xx increases.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form

Formulas

y = mx + b (Slope-Intercept Form)

Theorems

Linear Equation Theorem

Suitable Grade Level

Grades 6-8