Question

graph the function.
$f(x) = -\frac{1}{5}x + 4$
use the line tool and select two points to graph.

Explanation:

Step1: Find y-intercept

Set \( x = 0 \), then \( f(0)=-\frac{1}{5}(0)+4 = 4 \). So point is \( (0, 4) \).

Step2: Find another point

Set \( x = 5 \), then \( f(5)=-\frac{1}{5}(5)+4=-1 + 4 = 3 \). So point is \( (5, 3) \).
(Or other x values, e.g., \( x = 10 \), \( f(10)=-\frac{1}{5}(10)+4=-2 + 4 = 2 \), point \( (10, 2) \); \( x=-5 \), \( f(-5)=-\frac{1}{5}(-5)+4 = 1 + 4 = 5 \), point \( (-5, 5) \))
Plot these two points (e.g., \( (0, 4) \) and \( (5, 3) \)) and draw a line through them.

Answer:

To graph \( f(x)=-\frac{1}{5}x + 4 \), plot points like \( (0, 4) \) (y - intercept) and \( (5, 3) \) (or other points from substituting x - values) and draw a line through them. (The specific graphing is done by marking two points on the coordinate plane and connecting them with the Line tool.)