Which of the following statements is true regarding the graph of the equation y

Practice Questions

Q1
Which of the following statements is true regarding the graph of the equation y = mx + b?
  1. The graph is always a circle.
  2. The slope m indicates the steepness of the line.
  3. The y-intercept b is always negative.
  4. The graph can never be horizontal.

Questions & Step-by-Step Solutions

Which of the following statements is true regarding the graph of the equation y = mx + b?
  • Step 1: Understand the equation y = mx + b. This is the equation of a straight line.
  • Step 2: Identify the parts of the equation. 'm' is the slope, and 'b' is the y-intercept.
  • Step 3: Know what the slope (m) means. It tells you how steep the line is. A larger absolute value of m means a steeper line.
  • Step 4: Understand the y-intercept (b). This is where the line crosses the y-axis (the vertical line on a graph).
  • Step 5: Conclude that the statement about 'm' representing the slope is true.
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