If the equation of a line is y = mx + c, what does 'm' represent?

Practice Questions

Q1
If the equation of a line is y = mx + c, what does 'm' represent?
  1. The y-intercept
  2. The slope
  3. The x-intercept
  4. The distance

Questions & Step-by-Step Solutions

If the equation of a line is y = mx + c, what does 'm' represent?
  • Step 1: Understand that the equation of a line is written as y = mx + c.
  • Step 2: Identify the parts of the equation: 'y' is the vertical position, 'x' is the horizontal position, 'm' is a number, and 'c' is another number.
  • Step 3: Focus on 'm'. This is called the slope of the line.
  • Step 4: The slope 'm' tells us how steep the line is. A larger 'm' means a steeper line.
  • Step 5: The slope also tells us the direction of the line: if 'm' is positive, the line goes up as you move to the right; if 'm' is negative, the line goes down.
  • Slope of a Line – 'm' represents the slope, which indicates how steep the line is and the direction it moves (upward or downward).
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