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The family of curves represented by the equation y = mx + c, where m and c are c
The family of curves represented by the equation y = mx + c, where m and c are constants, is known as:
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Q1
The family of curves represented by the equation y = mx + c, where m and c are constants, is known as:
Linear functions
Quadratic functions
Cubic functions
Exponential functions
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The equation y = mx + c represents a straight line, which is a linear function.
Questions & Step-by-step Solutions
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Q
Q: The family of curves represented by the equation y = mx + c, where m and c are constants, is known as:
Solution:
The equation y = mx + c represents a straight line, which is a linear function.
Steps: 5
Show Steps
Step 1: Understand the equation y = mx + c.
Step 2: Identify that 'm' represents the slope of the line.
Step 3: Recognize that 'c' represents the y-intercept, where the line crosses the y-axis.
Step 4: Realize that this equation describes a straight line on a graph.
Step 5: Conclude that the family of curves represented by this equation is known as linear functions.
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