Final answer:
To graph the function f(x) = -0.5x + 4, locate the y-intercept at 4 on the y-axis. The slope is -0.5 or -1/2, which makes it negative. A second point is plotted from the y-intercept by moving down 1 unit and right 2 units for the negative slope.
Step-by-step explanation:
To graph the function f(x) = -0.5x + 4, you'll first need to find the y-intercept and slope.
a) What is the y-intercept?
The y-intercept is the point where the line crosses the y-axis. In the equation f(x) = -0.5x + 4, the y-intercept is 4. This is because when x = 0, f(x) will equal 4.
b) What is the slope (in fraction form)?
The slope is the coefficient of x. Here, it is -0.5, which can also be written as -1/2 in fraction form.
c) Is your slope positive or negative?
Since the slope is -0.5, the slope is negative.
d) Explain how you plotted your second point.
To plot a second point, you start at the y-intercept. From the point (0, 4), move down 1 unit because the slope is negative, then move 2 units to the right, as the slope is -1/2 (down 1 for the rise, and right 2 for the run). This would give you the second point (2, 3).