Math Problem Statement
The points in the table lie on a line. Find the slope of the line.
| x | 1 | 3 | 5 | 7 |
| y | -7 | -2 | 3 | 8 |
Solution
To find the slope of a line, you can use any two points from the given table and apply the slope formula:
Let's use the points and from the table. Applying the formula:
Thus, the slope of the line is .
Do you have any questions or want further details?
Here are 5 related questions:
- What is the slope-intercept form of the equation of this line?
- Can we use any two points to find the slope of a line?
- How do we interpret the slope in practical terms?
- How would the slope change if one point is incorrect?
- How do we find the equation of a line if we know the slope and a point?
Tip: When choosing points to find the slope, make sure the points are distinct and correctly substituted into the formula.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Slope of a line
Suitable Grade Level
Grades 8-10