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If the linear equation 4x - 5y = 20 is graphed, what is the y-intercept? (2023)

Practice Questions

Q1
If the linear equation 4x - 5y = 20 is graphed, what is the y-intercept? (2023)
  1. 4
  2. 5
  3. -4
  4. -5

Questions & Step-by-Step Solutions

If the linear equation 4x - 5y = 20 is graphed, what is the y-intercept? (2023)
  • Step 1: Start with the equation 4x - 5y = 20.
  • Step 2: To find the y-intercept, set x = 0.
  • Step 3: Substitute 0 for x in the equation: 4(0) - 5y = 20.
  • Step 4: This simplifies to -5y = 20.
  • Step 5: To solve for y, divide both sides by -5: y = 20 / -5.
  • Step 6: This gives y = -4.
  • Step 7: The y-intercept is the value of y when x = 0, which is -4.
  • Finding the y-intercept – To find the y-intercept of a linear equation, set x = 0 and solve for y.
  • Understanding linear equations – Recognizing the standard form of a linear equation and how to manipulate it.
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