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In a linear equation, if the slope is 3 and the y-intercept is -2, what is the e

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Question: In a linear equation, if the slope is 3 and the y-intercept is -2, what is the equation of the line?

Options:

  1. y = 3x + 2
  2. y = 3x - 2
  3. y = -3x + 2
  4. y = -3x - 2

Correct Answer: y = 3x - 2

Solution: 

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Here, m = 3 and b = -2, so the equation is y = 3x - 2.

In a linear equation, if the slope is 3 and the y-intercept is -2, what is the e

Practice Questions

Q1
In a linear equation, if the slope is 3 and the y-intercept is -2, what is the equation of the line?
  1. y = 3x + 2
  2. y = 3x - 2
  3. y = -3x + 2
  4. y = -3x - 2

Questions & Step-by-Step Solutions

In a linear equation, if the slope is 3 and the y-intercept is -2, what is the equation of the line?
  • Step 1: Understand the slope-intercept form of a linear equation, which is y = mx + b.
  • Step 2: Identify the slope (m) and the y-intercept (b) from the question. Here, m = 3 and b = -2.
  • Step 3: Substitute the values of m and b into the equation. Replace m with 3 and b with -2.
  • Step 4: Write the equation as y = 3x - 2.
  • Slope-Intercept Form – The equation of a line is expressed as y = mx + b, where m represents the slope and b represents the y-intercept.
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