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If a line has the equation 7x - 3y + 21 = 0, what is its slope?

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Question: If a line has the equation 7x - 3y + 21 = 0, what is its slope?

Options:

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

Correct Answer: -7/3

Solution: 

Rearranging gives y = (7/3)x + 7. The slope is -7/3.

If a line has the equation 7x - 3y + 21 = 0, what is its slope?

Practice Questions

Q1
If a line has the equation 7x - 3y + 21 = 0, 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 = 0, what is its slope?
  • Step 1: Start with the equation of the line: 7x - 3y + 21 = 0.
  • Step 2: Rearrange the equation to isolate y. First, move 7x and 21 to the other side: -3y = -7x - 21.
  • Step 3: Divide every term by -3 to solve for y: y = (7/3)x + 7.
  • Step 4: Identify the slope from the equation y = mx + b, where m is the slope. Here, m = 7/3.
  • Slope of a Line – The slope of a line in the slope-intercept form (y = mx + b) is represented by 'm'.
  • Rearranging Linear Equations – Understanding how to manipulate the equation of a line to isolate y and identify the slope.
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