Math Problem Statement
Find the slope of the line from the table below with the points (-3, 5), (-2, 2), (-1, -1), (0, -4), (1, -7).
Solution
To find the slope of the line from the table, we can use the slope formula:
We can select any two points from the table. For instance, let's choose the points and .
Substitute the coordinates into the formula:
So, the slope .
Would you like further details or have any questions? Here are five related questions you might explore:
- What does a negative slope represent about the line's direction?
- How would you find the slope if given two points not from a table?
- Can you explain how the slope would change if the points were reversed?
- How does the slope affect the steepness of a line?
- What is the relationship between the slope and the linear equation ?
Tip: When finding the slope, any two distinct points on the line will give you the same result.
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Math Problem Analysis
Mathematical Concepts
Algebra
Slope of a Line
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Linear equation and slope
Suitable Grade Level
Grade 8