Math Problem Statement
What is the slope of the line shown in the graph?
Solution
The image shows a line passing through the points and . To find the slope of the line, we use the slope formula:
Here, and . Substituting these values:
So, the slope of the line is .
Would you like more details or have any questions?
Here are some related questions you might find interesting:
- What is the equation of this line in slope-intercept form?
- How would the slope change if the line were steeper?
- Can you calculate the y-intercept based on the graph?
- What is the significance of a positive slope?
- How do you find the slope if given only the graph and no points?
Tip: The slope tells you how steep a line is; a slope of means that for every unit increase in , increases by exactly 1 unit.
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Linear Equations
Formulas
Slope formula: (y2 - y1) / (x2 - x1)
Theorems
Slope of a Line
Suitable Grade Level
Grades 7-9