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What is the slope of the line represented by the equation 5y - 10x = 20?

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Question: What is the slope of the line represented by the equation 5y - 10x = 20?

Options:

  1. 2
  2. 1
  3. 0.5
  4. 5

Correct Answer: 0.5

Solution: 

Rearranging to slope-intercept form: 5y = 10x + 20 => y = 2x + 4. The slope is 2.

What is the slope of the line represented by the equation 5y - 10x = 20?

Practice Questions

Q1
What is the slope of the line represented by the equation 5y - 10x = 20?
  1. 2
  2. 1
  3. 0.5
  4. 5

Questions & Step-by-Step Solutions

What is the slope of the line represented by the equation 5y - 10x = 20?
Correct Answer: 2
  • Step 1: Start with the equation 5y - 10x = 20.
  • Step 2: Add 10x to both sides to isolate the term with y. This gives you 5y = 10x + 20.
  • Step 3: Now, divide every term by 5 to solve for y. This results in y = (10/5)x + (20/5).
  • Step 4: Simplify the fractions. This gives you y = 2x + 4.
  • Step 5: Identify the slope from the equation y = mx + b, where m is the slope. Here, m = 2.
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