Math Problem Statement
What is the slope of the line passing through the points (2, 2) and (4, 4)?
Solution
To find the slope of a line, we use the formula for slope:
Looking at the graph, two points on the line are marked:
Using these two points:
- ,
- ,
Now, applying the values into the slope formula:
Thus, the slope of the line is 1.
Would you like more details on how to interpret slope from graphs?
Here are 5 related questions for further exploration:
- What does a slope of 1 signify in terms of the relationship between and ?
- How would the slope change if the points were different but still on the same line?
- What is the slope of a horizontal line?
- How do you find the slope when points have negative coordinates?
- Can the slope be zero, and what does that indicate?
Tip: A line with a positive slope like this one indicates that as increases, also increases.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Coordinate Geometry
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Slope of a Line
Suitable Grade Level
Grades 7-9