The family of curves represented by y = mx + c can be described as:
Practice Questions
1 question
Q1
The family of curves represented by y = mx + c can be described as:
Quadratic functions
Linear functions
Cubic functions
Exponential functions
The equation y = mx + c describes linear functions for varying m and c.
Questions & Step-by-step Solutions
1 item
Q
Q: The family of curves represented by y = mx + c can be described as:
Solution: The equation y = mx + c describes linear functions for varying m and c.
Steps: 5
Step 1: Understand that 'y = mx + c' is the equation of a straight line.
Step 2: Identify 'm' as the slope of the line, which shows how steep the line is.
Step 3: Recognize that 'c' is the y-intercept, which is where the line crosses the y-axis.
Step 4: Realize that by changing the values of 'm' and 'c', you can create different lines.
Step 5: Conclude that the family of curves represented by this equation consists of all possible straight lines that can be formed by varying 'm' and 'c'.
