If the equation of a line is given as 4x - y = 8, what is the y-intercept of the

Practice Questions

Q1
If the equation of a line is given as 4x - y = 8, what is the y-intercept of the line?
  1. 8
  2. 4
  3. -8
  4. -4

Questions & Step-by-Step Solutions

If the equation of a line is given as 4x - y = 8, what is the y-intercept of the line?
  • Step 1: Start with the equation of the line: 4x - y = 8.
  • Step 2: To find the y-intercept, we need to rearrange the equation into the form y = mx + b, where b is the y-intercept.
  • Step 3: Move '4x' to the other side of the equation by subtracting it from both sides: -y = -4x + 8.
  • Step 4: Now, multiply the entire equation by -1 to make 'y' positive: y = 4x - 8.
  • Step 5: In the equation y = 4x - 8, the y-intercept (b) is the number that is added or subtracted, which is -8.
  • Linear Equations – Understanding the standard form of a linear equation and how to convert it to slope-intercept form (y = mx + b) to identify the y-intercept.
  • Y-Intercept – The point where the line crosses the y-axis, which can be directly identified from the slope-intercept form of the equation.
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