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If a line has the equation 7x - 3y = 21, what is its slope?

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Question: If a line has the equation 7x - 3y = 21, what is its slope?

Options:

  1. 7/3
  2. -7/3
  3. 3/7
  4. -3/7

Correct Answer: -7/3

Solution: 

Rearranging to slope-intercept form gives y = (7/3)x - 7. The slope is -7/3.

If a line has the equation 7x - 3y = 21, what is its slope?

Practice Questions

Q1
If a line has the equation 7x - 3y = 21, what is its slope?
  1. 7/3
  2. -7/3
  3. 3/7
  4. -3/7

Questions & Step-by-Step Solutions

If a line has the equation 7x - 3y = 21, what is its slope?
  • Step 1: Start with the equation of the line: 7x - 3y = 21.
  • Step 2: Rearrange the equation to isolate y on one side. First, subtract 7x from both sides: -3y = -7x + 21.
  • Step 3: Now, divide every term by -3 to solve for y: y = (7/3)x - 7.
  • Step 4: Identify the slope from the equation in slope-intercept form (y = mx + b), where m is the slope. Here, the slope (m) is 7/3.
  • Slope of a Line – Understanding how to find the slope from the equation of a line in standard form.
  • Rearranging Equations – The process of converting an equation from standard form to slope-intercept form (y = mx + b).
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