Math Problem Statement
What is the slope of the line passing through the points (0, -3) and (4, 5)?
Solution
The graph provided shows two labeled points: and .
To find the slope of the line, we use the slope formula:
Where:
Substitute the values:
So, the slope of the line is .
Would you like further details or have any questions?
Here are 5 related questions to explore:
- How do you find the equation of a line given its slope and a point?
- What is the interpretation of slope in real-world scenarios?
- How does a negative slope affect the direction of a line?
- Can the slope of a vertical line be calculated? Why or why not?
- How does the slope relate to the angle of a line with respect to the x-axis?
Tip: When calculating slope, make sure to correctly subtract the coordinates to avoid errors!
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Slope of a Line
Formulas
Slope formula: m = (y2 - y1) / (x2 - x1)
Theorems
Concept of slope in linear equations
Suitable Grade Level
Grades 8-10