Math Problem Statement
The points given in the table lie on a line. Find the slope of the line. x
–1
2
5
8
y
3
–1
–5
–9
Solution
To find the slope of a line given points, we use the slope formula:
From the table, we can use any two points to find the slope. Let’s use the points and :
Thus, the slope of the line is:
Would you like me to verify using other pairs of points? Let me know if you have additional questions!
Related Questions
- How can we determine if other points lie on the same line?
- What is the equation of the line in slope-intercept form?
- How would the slope change if the table’s points were adjusted?
- How do we interpret a negative slope in this context?
- What role does slope play in linear equations?
Tip: Always double-check calculations by testing multiple points on the line!
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Slope of a Line
Formulas
{"Slope formula":"m = (y2 - y1) / (x2 - x1)"}
Theorems
Linear relationship between points
Definition of slope in linear equations
Suitable Grade Level
Grades 8-10