Math Problem Statement
Describe the slope of the line shown in the graph.
Solution
The graph shows a line passing through two points: one near and another near .
To describe the slope, we calculate it using the formula for the slope between two points and :
Using the approximate coordinates and , we have:
Therefore, the slope of the line is 1, meaning the line rises by 1 unit for every 1 unit it moves horizontally, indicating a positive and linear increase.
Would you like further clarification or more details on the topic? Here are some related questions to explore:
- How do you interpret a positive slope in real-life scenarios?
- What is the difference between positive, negative, zero, and undefined slopes?
- How would the graph change if the slope were greater than 1?
- How do we find the slope of a line that is vertical or horizontal?
- How does the slope relate to the equation of a line in slope-intercept form?
Tip: When calculating slopes, it's helpful to remember that a positive slope means the line moves upwards as you go from left to right.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope
Formulas
slope = (y2 - y1) / (x2 - x1)
Theorems
-
Suitable Grade Level
Grades 7-9