Math Problem Statement
Estimate the slope of the line from its graph.
Solution
To estimate the slope of the line from the graph:
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Choose two clear points on the line. From the image:
- The first point appears to be where the line crosses the y-axis.
- The second point appears to be where the line crosses the x-axis.
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Use the slope formula: Substituting the points and :
Thus, the slope of the line is .
Would you like more details or have further questions?
Here are some related questions for practice:
- What does the negative slope indicate about the direction of the line?
- How would the slope change if the line were steeper?
- How do you determine the slope when the line is horizontal?
- How does the slope relate to the equation of the line in slope-intercept form?
- Can the slope be zero, and if so, what does that mean for the line?
Tip: Remember, the slope is a measure of the steepness of a line. A negative slope indicates the line is decreasing as you move from left to right.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Coordinate Geometry
Formulas
Slope formula: (y2 - y1) / (x2 - x1)
Theorems
Slope of a line theorem
Suitable Grade Level
Grades 7-9