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If the line 3x - 4y + 12 = 0 is transformed to slope-intercept form, what is the

Practice Questions

Q1
If the line 3x - 4y + 12 = 0 is transformed to slope-intercept form, what is the slope?
  1. 3/4
  2. -3/4
  3. 4/3
  4. -4/3

Questions & Step-by-Step Solutions

If the line 3x - 4y + 12 = 0 is transformed to slope-intercept form, what is the slope?
  • Step 1: Start with the equation of the line: 3x - 4y + 12 = 0.
  • Step 2: Move the term with x to the other side by subtracting 3x from both sides: -4y + 12 = -3x.
  • Step 3: Now, move the constant term (12) to the other side by subtracting 12 from both sides: -4y = -3x - 12.
  • Step 4: To isolate y, divide every term by -4: y = (3/4)x + 3.
  • Step 5: The equation is now in slope-intercept form (y = mx + b), where m is the slope.
  • Step 6: Identify the slope from the equation: the slope is 3/4.
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