Math Problem Statement
Find the slope of the line. (If an answer is undefined, enter UNDEFINED.)
Solution
To determine the slope of the line shown in the graph, let's use the formula for slope:
We will identify two points on the line from the graph and substitute them into the formula.
From the graph:
- One point appears to be .
- Another point appears to be .
Substitute these coordinates into the slope formula:
Thus, the slope of the line is:
If you have further questions or need more details, let me know!
Here are 5 related questions to expand your understanding:
- How do you determine if a slope is positive, negative, zero, or undefined from a graph?
- What happens to the slope of a line if the points are reversed in calculation?
- How is slope related to the steepness of a line?
- What is the slope of a vertical line, and why is it considered undefined?
- Can you use a graphing tool or calculator to verify slopes of complex equations?
Tip: Always double-check the coordinates of the points you choose from the graph to avoid errors in slope calculations.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope
Coordinate Geometry
Formulas
m = (y2 - y1) / (x2 - x1)
Theorems
Slope formula in Cartesian coordinate system
Suitable Grade Level
Grades 8-10