It seems there was an issue generating the graph here. I'll try another approach to create the graph.

Let me get that ready for you.It seems there are technical difficulties in generating the graph at the moment. Let me guide you through the process to graph these two equations manually or using a tool of your choice:

1. Equation 1: $y = -3x - 4$

   • The slope is $-3$, meaning for every unit increase in $x$, $y$ decreases by 3.
   • The y-intercept is $-4$, so the line crosses the y-axis at $(0, -4)$.

2. Equation 2: $y = \frac{3}{2}x + 5$

   • The slope is $\frac{3}{2}$, meaning for every 2 units increase in $x$, $y$ increases by 3.
   • The y-intercept is $5$, so the line crosses the y-axis at $(0, 5)$.

To plot these equations:

• Choose several values of $x$ (e.g., $-2, -1, 0, 1, 2$) and compute the corresponding $y$-values.
• Mark the points on the graph and connect them to form a line.

Alternatively, you could use graphing calculators or software like Desmos or GeoGebra.

Would you like additional assistance with this, or further clarifications?

Here are 5 related questions:

1. How do you calculate the slope of a line from its equation?
2. What are the intercepts of a linear equation, and how do they help in graphing?
3. Can two lines intersect, and how would you find their intersection point?
4. What is the effect of changing the slope on the steepness of a line?
5. How do parallel lines behave in terms of their equations?

Tip: When graphing equations, focus on key points like intercepts and slope direction to make the process smoother.