Math Problem Statement
Solution
To find the slope of the line in the graph, we can follow these steps:
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Identify two points on the line: From the graph, we can see that the line passes through the points and .
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Use the slope formula: The slope of a line is given by the formula: where and are the coordinates of two points on the line.
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Substitute the points: Using the points and :
So, the slope of the line is 3.
Would you like further details or have any questions about this?
Here are some related questions:
- How do you calculate the slope if the points are given in decimal form?
- What is the meaning of a positive versus a negative slope?
- How can you find the slope of a horizontal or vertical line?
- How do you calculate the slope if a line passes through the origin?
- What are the different ways to express the equation of a line using the slope?
Tip: The slope of a line is a measure of its steepness. A larger absolute value of the slope means the line is steeper!
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Math Problem Analysis
Mathematical Concepts
Algebra
Slope of a Line
Coordinate Geometry
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Slope-Intercept Theorem
Suitable Grade Level
Grades 7-9