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If the linear equation 5x - 2y = 10 is graphed, what is the y-intercept?

Practice Questions

Q1
If the linear equation 5x - 2y = 10 is graphed, what is the y-intercept?
  1. 5
  2. 2
  3. -5
  4. -2

Questions & Step-by-Step Solutions

If the linear equation 5x - 2y = 10 is graphed, what is the y-intercept?
  • Step 1: Understand that the y-intercept is the point where the line crosses the y-axis.
  • Step 2: Recall that when a line crosses the y-axis, the value of x is always 0.
  • Step 3: Substitute x = 0 into the equation 5x - 2y = 10.
  • Step 4: Replace x in the equation: 5(0) - 2y = 10.
  • Step 5: Simplify the equation: 0 - 2y = 10.
  • Step 6: This simplifies to -2y = 10.
  • Step 7: To find y, divide both sides by -2: y = 10 / -2.
  • Step 8: Calculate the result: y = -5.
  • Step 9: Therefore, the y-intercept is -5.
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