Math Problem Statement
Geef bij de onderstaande grafieken de richtingscoëfficiënt en het startgetal.
Solution
The problem asks for the slope (richtingscoëfficiënt) and y-intercept (startgetal) of each of the given graphs.
General Equation of a Line:
Where:
- is the slope (richtingscoëfficiënt)
- is the y-intercept (startgetal)
Step-by-Step Analysis:
Graph A:
- The line decreases, so the slope is negative.
- The y-intercept is at .
- To find the slope: It moves down 1 unit for every 1 step right → .
- Equation: .
Graph B:
- The line increases, so the slope is positive.
- The y-intercept is at .
- The slope appears to be 1, as it moves up 1 and right 1.
- Equation: .
Graph C:
- The line decreases, so the slope is negative.
- The y-intercept is at .
- The slope is -1, since the line moves down 1 and right 1.
- Equation: .
Graph D:
- The line increases, so the slope is positive.
- The y-intercept is at .
- The slope appears to be 1.
- Equation: .
Summary of Equations:
- A:
- B:
- C:
- D:
Would you like a more detailed breakdown for any graph?
Related Questions:
- How do you calculate the slope using two points?
- What does the slope represent in real-world problems?
- How do you find the equation of a line given two points?
- What happens if the slope is zero or undefined?
- How can we determine if two lines are parallel or perpendicular?
Math Tip:
The slope is calculated using: This helps when identifying equations from graphs!
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope
Y-intercept
Graphing Lines
Formulas
y = mx + b
Theorems
Slope formula
Suitable Grade Level
Grades 7-9