The problem asks for the slope (richtingscoëfficiënt) and y-intercept (startgetal) of each of the given graphs.

General Equation of a Line:

$y = mx + b$ Where:

• $m$ is the slope (richtingscoëfficiënt)
• $b$ is the y-intercept (startgetal)

Step-by-Step Analysis:

Graph A:

• The line decreases, so the slope is negative.
• The y-intercept is at $b = 3$.
• To find the slope: It moves down 1 unit for every 1 step right → $m = -1$.
• Equation: $y = -x + 3$.

Graph B:

• The line increases, so the slope is positive.
• The y-intercept is at $b = -3$.
• The slope appears to be 1, as it moves up 1 and right 1.
• Equation: $y = x - 3$.

Graph C:

• The line decreases, so the slope is negative.
• The y-intercept is at $b = 3$.
• The slope is -1, since the line moves down 1 and right 1.
• Equation: $y = -x + 3$.

Graph D:

• The line increases, so the slope is positive.
• The y-intercept is at $b = -3$.
• The slope appears to be 1.
• Equation: $y = x - 3$.

Summary of Equations:

• A: $y = -x + 3$
• B: $y = x - 3$
• C: $y = -x + 3$
• D: $y = x - 3$

Would you like a more detailed breakdown for any graph?

Related Questions:

1. How do you calculate the slope using two points?
2. What does the slope represent in real-world problems?
3. How do you find the equation of a line given two points?
4. What happens if the slope is zero or undefined?
5. How can we determine if two lines are parallel or perpendicular?

Math Tip:

The slope $m$ is calculated using: $m = \frac{y_2 - y_1}{x_2 - x_1}$ This helps when identifying equations from graphs!