Math Problem Statement
What is the rate of change of the linear function? Simplify your final answer and type as a fraction if necessary.
Solution
To find the rate of change (or slope) of the linear function, we can use two points on the line and apply the slope formula:
From the graph, I can identify two points that the line passes through:
- Point 1:
- Point 2:
Now, let's calculate the slope :
So, the rate of change of the linear function is .
Would you like more details, or do you have any questions?
Here are some related questions you might find helpful:
- What is the equation of the line using the slope-intercept form?
- How do you find the y-intercept of a linear function from a graph?
- What does the slope of a linear function represent in real-world problems?
- Can the slope of a line be negative? If so, what does that indicate?
- How do you find the slope between two points algebraically without a graph?
Tip: The slope of a line indicates how much changes for a unit change in . A positive slope means the line is increasing, while a negative slope indicates a decreasing line.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Slope Calculation
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Linear function properties
Slope of a line
Suitable Grade Level
Grades 7-9