Answer:
Step-by-step explanation:
1) Since this function is f(x)=mx+b, whose rule is:
[tex]f(x)=-0.25x+4[/tex]
2) Then this parameter m is a negative one, the line is a decreasing one (from upper left to lower right). Then Let's choose three random values for x, and plug it in the function, to get y values. Let x, be 0,1,2.
The parameter b is 4 then the line crosses the y-axis in point (0,4).
3) Plugging it in, goes:
[tex]f(x)=-0.25x+4\Rightarrow f(0)=-0.25(0)+4\Rightarrow f(0)=4\\f(1)=-0.25(1)+4\Rightarrow f(1)=-0.25(1)+4\Rightarrow f(1)=3.75\Rightarrow f(2)=-0.25(2)+4\Rightarrow f(2)=3.50[/tex]
As we have three coordinate points, we can trace a line:
(0,4),(1,3.75),(2,3.5)
