4 Questions
Which of the following is an example of a linear function?
y = 2x + 3
What is the slope of the line represented by the equation y = 3x - 2?
3
Which of the following equations does not represent a linear relationship between x and y?
y = x^2 + 3x + 1
If a linear function has a negative slope, how would the graph of the function appear?
Decreasing from left to right
Study Notes
Linear Functions
- A linear function can be identified by the equation in the form y = mx + b, where m is the slope and b is the y-intercept.
- An example of a linear function is an equation where the highest power of the variable(s) is 1.
Slope of a Linear Function
- The slope of a line represented by the equation y = 3x - 2 is 3.
- The slope of a line can be interpreted as the change in y over the change in x (rise over run).
Non-Linear Relationships
- An equation that does not represent a linear relationship between x and y is one where the highest power of the variable(s) is not 1, such as quadratic or exponential equations.
Graph of a Linear Function with Negative Slope
- If a linear function has a negative slope, the graph of the function would appear to be decreasing from left to right, with the y-values decreasing as the x-values increase.
Test your knowledge of linear functions with this quiz. Answer questions about identifying linear functions, calculating slopes, and understanding the graphical representation of linear functions.
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