Math Problem Statement
a line passes through the points (4,-1) and (2,3) what is the slope of the line
Solution
The slope of a line passing through two points and is calculated using the formula:
Substituting the points and into the formula:
So, the slope of the line is .
Would you like more details or have any further questions?
Here are 5 related questions to explore this topic:
- How do you find the equation of a line given two points?
- What is the slope of a vertical line?
- What does the slope represent in the context of a graph?
- Can the slope of a line be zero? If so, under what conditions?
- How do you graph a line if you know the slope and a point?
Tip: The slope tells you how steep a line is and whether it rises or falls as you move from left to right on a graph.
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Math Problem Analysis
Mathematical Concepts
Algebra
Geometry
Coordinate Geometry
Slope of a Line
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Slope-Intercept Theorem
Linear Equation
Suitable Grade Level
Grades 7-9
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