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What is the y-intercept of the line given by the equation 3x + 2y = 6?

Practice Questions

Q1
What is the y-intercept of the line given by the equation 3x + 2y = 6?
  1. 0
  2. 3
  3. 2
  4. 6

Questions & Step-by-Step Solutions

What is the y-intercept of the line given by the equation 3x + 2y = 6?
  • Step 1: Start with the equation 3x + 2y = 6.
  • Step 2: To isolate y, first subtract 3x from both sides. This gives you 2y = -3x + 6.
  • Step 3: Now, divide every term by 2 to solve for y. This results in y = -1.5x + 3.
  • Step 4: In the equation y = mx + b, the value of b is the y-intercept. Here, b is 3.
  • Step 5: Therefore, the y-intercept of the line is 3.
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