Math Problem Statement
Find the slope of the line graphed below.
Solution
To find the slope of the line shown in the graph, we can use the slope formula:
Step 1: Identify two clear points on the line.
From the graph, we can select the following two points where the line intersects grid points:
- Point 1:
- Point 2:
Step 2: Apply the slope formula.
Simplify the numerator and denominator:
Step 3: Interpret the result.
The slope of the line is:
This negative slope indicates that the line decreases (falls) as it moves from left to right.
Do you want further explanation, or have any questions about this?
5 Related Questions:
- How do you find the slope when given two points?
- What does a positive slope versus a negative slope indicate?
- How is the slope of a horizontal or vertical line different?
- How does the slope relate to the equation of a line?
- Can you calculate the slope from a table of points?
Tip: The steeper the slope (in absolute value), the faster the line increases or decreases.
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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
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Suitable Grade Level
Grades 8-10