To graph this linear function, we can use the x- and the y-intercepts of the function. To achieve this, we can proceed as follows:
1. Finding the x-intercept of the line
The x-intercept is the point where the function passes through the x-axis and at this point the value for y = 0. Then, the x-intercept is:

Then, we have:

Then, the x-intercept is (-4, 0). See that it is easier to identify this point on the coordinate to graph the function.
2. Finding the y-intercept
In this case, we need to find the value of y when x = 0. The y-intercept is the point where the linear function passes through the y-axis. Then, we have:

Then, we can divide both sides of the equation by -2:

Then, the y-intercept is (0, 6).
3. Finding the slope of the line
We can rewrite the line equation given in the standard form into the slope-intercept form as follows:
The slope-intercept form of the line is:

Where
• m is the slope of a line.
,
• b is the y-intercept of the line.
Then, we have:

To solve the equation for y, we can follow the next steps:
1. Subtract 3x to both sides of the equation:

2. Divide both sides of the equation by -2:

Then, the slope of this line is m = 3/2.
With all of this information, we can answer the question about the attributes:
1. Domain
The domain of the function is, in interval form, as (-∞, ∞). That is the values for x are for all the values of x.
2. Range
The range of the linear function is for values of y from -∞ to ∞, or in interval form as (-∞, ∞).
We can see this if we graph the function as follows (we can graph the function by using the intercepts we found above):
3. Zero
The zero of the function is the point for which the function is equal to zero, and we found that this point is the same as the x-intercept. The zero of the function is x = -4, because:

4. The Y-intercept
We already found that the y-intercept is (0, 6).
5. The slope of the line
We already found the slope of the line: m = 3/2.
6. Type of slope
The slope of the line is a positive slope.
7. The value of the linear function when f(0)
To find this value, we need to substitute the value of x = 0 into the line equation as follows (the result will be the y-intercept):

Then, f(0) = 6.
8. The value of x, where f(x) = 0
We already found this value. The value of x for which the function is zero is x = -4 (see above).
Therefore, in summary, we have: