Math Problem Statement
What is the slope of the line?
Solution
The problem asks for the slope of the line on the graph. The slope is calculated using the formula:
Looking at the line, we can choose two clear points it passes through. One such point is , and another one is .
Using these points, the slope is:
Thus, the slope of the line is .
Would you like more details or have any questions?
Here are 5 related questions to expand your understanding:
- What does the slope tell us about the steepness of the line?
- How does a negative slope differ from a positive slope?
- What would the slope be if the line were horizontal?
- How do we interpret the y-intercept in the slope-intercept form of a line?
- What is the general formula for the equation of a line in slope-intercept form?
Tip: When calculating slope, always choose points that clearly intersect grid lines to avoid errors.
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Slope of a Line
Formulas
Slope formula m = (y2 - y1) / (x2 - x1)
Theorems
Slope Theorem
Suitable Grade Level
Grades 7-10