Question
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Equation:

Ask by Nichols Bond. in the United States
Mar 25,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The equation has a slope of , a -intercept at , and an -intercept at .

Solution

  1. Identify the form of the equation
    The equation
    is in slope-intercept form, which is
    where is the slope and is the -intercept.
  2. Determine the slope and -intercept
    • The slope is
    • The -intercept is
      This means the line crosses the -axis at the point .
  3. Find the -intercept
    To find the -intercept, set and solve for :
    Multiply each term by 8 to eliminate the fraction:
    Solve for :
    So, the -intercept is .
  4. Summary
    • Slope:
    • -intercept:
    • -intercept:
This breakdown explains all the important features of the linear equation.

Answered by UpStudy AI and reviewed by a Professional Tutor

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Explain
Simplify this solution

Mind Expander

This equation describes a straight line in slope-intercept form, where the slope is and the y-intercept is . This means for every 8 units you move to the right along the x-axis, you move up 3 units along the y-axis. If you were to graph it, you’d start at the point on the y-axis and use the slope to find other points on the line.
In real-world scenarios, this linear equation might represent a relationship between two variables—like distance and fuel consumption or cost and quantity. Imagine you’re budgeting your expenses: if your company charges a flat fee of 3 (the starting point), and then adds a smaller incremental charge that scales with usage (represented by ), you could predict costs based on usage!

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