Math Problem Statement
What is the slope of the line on the graph?
What is the slope of the line on the graph?
Solution
To find the slope of the line shown in the graph, we can use the slope formula:
We need to pick two clear points on the line to apply this formula. From the graph, the two points that appear to be on the line are:
- Point 1:
- Point 2:
Using these points in the formula:
Thus, the slope of the line is .
Would you like further details or have any questions?
Here are some related questions you might find useful:
- What is the equation of the line in slope-intercept form?
- How can you determine the y-intercept from this graph?
- What does a negative slope indicate about the direction of the line?
- Can you explain the significance of the slope in real-world contexts?
- How would the graph change if the slope were positive?
Tip: A negative slope means that as increases, decreases, and vice versa.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope of a Line
Formulas
Slope formula: (y2 - y1) / (x2 - x1)
Theorems
Slope-Intercept Form
Suitable Grade Level
Grades 6-9