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If the line 5x + 12y = 60 is transformed to slope-intercept form, what is the sl

Practice Questions

Q1
If the line 5x + 12y = 60 is transformed to slope-intercept form, what is the slope?
  1. -5/12
  2. 5/12
  3. 12/5
  4. -12/5

Questions & Step-by-Step Solutions

If the line 5x + 12y = 60 is transformed to slope-intercept form, what is the slope?
  • Step 1: Start with the equation of the line: 5x + 12y = 60.
  • Step 2: To get y by itself, first subtract 5x from both sides: 12y = -5x + 60.
  • Step 3: Now, divide every term by 12 to solve for y: y = (-5/12)x + 60/12.
  • Step 4: Simplify 60/12 to get 5: y = (-5/12)x + 5.
  • 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 -5/12.
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