If the equation of a line is y = mx + c, what does 'm' represent?
Practice Questions
1 question
Q1
If the equation of a line is y = mx + c, what does 'm' represent?
The y-intercept
The slope
The x-intercept
The distance
'm' in the equation of a line represents the slope, which indicates the steepness and direction of the line.
Questions & Step-by-step Solutions
1 item
Q
Q: If the equation of a line is y = mx + c, what does 'm' represent?
Solution: 'm' in the equation of a line represents the slope, which indicates the steepness and direction of the line.
Steps: 5
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.