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

Practice Questions

Q1
If the line 3x + 4y = 12 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 is transformed to slope-intercept form, what is the slope?
  • Step 1: Start with the equation of the line: 3x + 4y = 12.
  • Step 2: To get y by itself, first subtract 3x from both sides: 4y = 12 - 3x.
  • Step 3: Now, divide every term by 4 to isolate y: y = (12 - 3x) / 4.
  • Step 4: Split the fraction: y = 12/4 - 3x/4.
  • Step 5: Simplify the fractions: y = 3 - (3/4)x.
  • Step 6: Rewrite it in slope-intercept form: y = -3/4x + 3.
  • Step 7: Identify the slope from the equation: The slope is -3/4.
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