Math Problem Statement
What is the slope of this line? Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Solution
To calculate the slope of the line, we use the slope formula:
From the graph, the two points on the line are and . Substituting these coordinates into the formula:
Simplify the numerator and denominator:
Thus, the slope of the line is:
Would you like more details or have further questions?
Here are 5 related questions to deepen understanding:
- How is the slope related to the steepness of a line?
- What would the slope be if the line were horizontal or vertical?
- How can the slope formula be derived from similar triangles?
- What does a positive or negative slope indicate about a line's direction?
- How can you determine the slope from an equation like ?
Tip: Always simplify the fraction for slope to its lowest terms to ensure accuracy and clarity!
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Slope Calculation
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Properties of Linear Equations
Slope of a Line
Suitable Grade Level
Grades 6-8