How can you determine if a relation represents a linear function?
A. By finding the slope between any two points
B. By checking if the graph is a straight line
C. By finding the intercepts
D. All of the above
How can you determine if a relation represents a linear function?
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The correct answer is D. All of the above.
Explanation:
1. Finding the slope between any two points: If the slope (the rate of change) is the same between any two points on the graph, it indicates a linear relation.
2. Checking if the graph is a straight line: A linear function will always graph as a straight line, meaning the relationship between the variables is consistent.
3. Finding the intercepts: Linear functions can be expressed in the form (y = mx + b), where (m) represents the slope, and (b) is the y-intercept. Checking intercepts helps to reaffirm the linearity of the function.
Therefore, all these methods can confirm if a relation represents a linear function. Keep up the good work! If you have more questions, don’t hesitate to ask.