Short Answer 
The equation given is in point-slope form, indicating a slope of 3/4 and passing through the point (-4, -6). The y-intercept is (0, -3) and the x-intercept is (4, 0), which can be used to graph the line and illustrate its linear relationship.
Step 1: Understand the Equation
The equation given is in the point-slope form: y + 6 = (3/4)(x + 4). This indicates that the line has a slope of 3/4 and passes through the point (-4, -6). The point-slope form is useful for determining the line’s characteristics based on a specific point and slope.
Step 2: Find the Intercepts
To identify where the line crosses the axes, we need to calculate the intercepts:
- Y-intercept: Set x = 0 to find the y-value, which gives us the point (0, -3).
- X-intercept: Set y = 0 to find the x-value, resulting in the point (4, 0).
Step 3: Graph the Line
With the slope and intercepts determined, we can sketch the graph. Start by plotting the points (0, -3) and (4, 0) on the coordinate plane. Use the slope of 3/4 to determine additional points if needed, and then connect these points to form a straight line, illustrating the linear relationship described by the equation.