Which of the following describes the graphical representation of the equation y

Practice Questions

Q1
Which of the following describes the graphical representation of the equation y = 3x + 1? (2023)
  1. A horizontal line.
  2. A vertical line.
  3. A line with a slope of 3.
  4. A line with a slope of -3.

Questions & Step-by-Step Solutions

Which of the following describes the graphical representation of the equation y = 3x + 1? (2023)
  • Step 1: Identify the equation given, which is y = 3x + 1.
  • Step 2: Recognize that this equation is in slope-intercept form, which is y = mx + b.
  • Step 3: In the equation, 'm' represents the slope and 'b' represents the y-intercept.
  • Step 4: Here, the slope (m) is 3, which means for every 1 unit you move to the right on the x-axis, the line goes up 3 units on the y-axis.
  • Step 5: The y-intercept (b) is 1, meaning the line crosses the y-axis at the point (0, 1).
  • Step 6: Since the slope is positive (3), the line will rise steeply as you move from left to right.
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