The problem requires us to graph the linear equation $y = -\frac{3}{4}x - 4$.

1. Problem Description

The problem requires us to graph the linear equation $y = -\frac{3}{4}x - 4$.

2. Solution Steps

We can graph the equation by finding two points on the line and then drawing the line through those points.

The equation is in slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

In this case, $m = -\frac{3}{4}$ and $b = -4$.

The y-intercept is the point where the line crosses the y-axis, which is $(0, -4)$. So, we have one point.

To find another point, we can choose a value for $x$ and plug it into the equation to solve for $y$. Let's choose $x = 4$.

$y = -\frac{3}{4}(4) - 4$

$y = -3 - 4$

$y = -7$

So, the second point is $(4, -7)$.

Now we can plot the two points $(0, -4)$ and $(4, -7)$ on the coordinate plane and draw a line through them.

3. Final Answer

The graph of the equation $y = -\frac{3}{4}x - 4$ is a line that passes through the points $(0, -4)$ and $(4, -7)$.

(I can't provide the actual graph).