Let's analyze the problems step by step.

Image 1

Problems:

1. Equation: $y = \frac{2}{3}x + 1$

   • Slope ($m$): The coefficient of $x$ is $\frac{2}{3}$.
   • Y-intercept ($b$): The constant term is $1$.

   Answers:

   • 28: The slope is $\frac{2}{3}$.
   • 29: The y-intercept is $1$.

2. Equation: $y = -3x - 2$

   • Slope ($m$): The coefficient of $x$ is $-3$.
   • Y-intercept ($b$): The constant term is $-2$.

   Answers:

   • 31: The slope is $-3$.
   • 32: The y-intercept is $-2$.

Image 2

Problem:

1. Equation: $y = -\frac{4}{3}x + 1$

   • Slope ($m$): The coefficient of $x$ is $-\frac{4}{3}$.
   • Y-intercept ($b$): The constant term is $1$.

   Answers:

   • 25: The slope is $-\frac{4}{3}$.
   • 26: The y-intercept is $1$.

Would you like me to explain how to plot these equations on the provided graphs or go further into the slope-intercept form concept?

5 Related Questions

1. How do you find the slope from a graph instead of an equation?
2. How can you tell if a line is increasing or decreasing based on its slope?
3. What does the y-intercept represent in a real-world context?
4. How would the graph change if the slope or intercept were negative?
5. How can you rewrite an equation in standard form to slope-intercept form?

Tip:

The slope tells you how steep the line is and whether it’s going up (positive slope) or down (negative slope) as you move to the right on the graph.