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If a line has the equation y - 3 = 4(x - 1), what is its slope?

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Question: If a line has the equation y - 3 = 4(x - 1), what is its slope?

Options:

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

Correct Answer: 4

Solution: 

The equation is in point-slope form, where the slope m = 4.

If a line has the equation y - 3 = 4(x - 1), what is its slope?

Practice Questions

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

Questions & Step-by-Step Solutions

If a line has the equation y - 3 = 4(x - 1), what is its slope?
  • Step 1: Identify the equation given: y - 3 = 4(x - 1).
  • Step 2: Recognize that this equation is in point-slope form, which is generally written as y - y1 = m(x - x1).
  • Step 3: In the point-slope form, 'm' represents the slope of the line.
  • Step 4: From the equation y - 3 = 4(x - 1), we can see that the value of 'm' is 4.
  • Step 5: Therefore, the slope of the line is 4.
  • Point-Slope Form – The equation of a line in the form y - y₁ = m(x - x₁) where m is the slope.
  • Identifying Slope – Understanding how to extract the slope from the point-slope form of a line.
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