Math Problem Statement
A line passes through the points in this table. x y 12 50 16 36 20 22 24 8 What is the slope of the line?
Solution
To find the slope of a line passing through two points, we use the slope formula:
Using the points and as an example:
Thus, the slope of the line is .
Would you like further details or have any questions?
Here are 5 related questions for further exploration:
- How would the equation of the line look in slope-intercept form?
- What is the y-intercept of this line?
- Can you find the equation of the line using two different points from the table?
- How would you graph this line using the slope and y-intercept?
- What is the relationship between slope and the steepness of the line?
Tip: When calculating slope, make sure to choose any two points on the line; the slope remains consistent regardless of which points you select.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Coordinate Geometry
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Slope of a Line Theorem
Suitable Grade Level
Grades 8-10