Answer:
The coordinates are: (1,3.8), (2,3.6)
Now, plotting these points on graph as shown in figure.
Step-by-step explanation:
We need to graph the function: [tex]f(x)=-\frac{1}{5}x+4[/tex]
For drawing the graph, we need x and y coordinateness.
The can be found as following:
If we put x =1 in the given function, we will get:
[tex]f(x)=-\frac{1}{5}x+4\\Put\:x=1\\f(x)=-\frac{1}{5}(1)+4\\f(x)=-\frac{1}{5}+4\\f(x)=\frac{-1+4*5}{5}\\f(x)=\frac{-1+20}{5}\\f(x)=\frac{19}{5}\\f(x)=3.8[/tex]
So, we get when x =1 f(x) or y = 3.8
Now for finding second point, we put x =2 in the given function
[tex]f(x)=-\frac{1}{5}x+4\\Put\:x=2\\f(x)=-\frac{1}{5}(2)+4\\f(x)=-\frac{2}{5}+4\\f(x)=\frac{-2+4*5}{5}\\f(x)=\frac{-2+20}{5}\\f(x)=\frac{18}{5}\\f(x)=3.6[/tex]
So, we get when x =2 f(x) or y = 3.6
The coordinates are: (1,3.8), (2,3.6)
Now, plotting these points on graph as shown in figure.
You find 1 on x-axis and 3.8 on y-axis for first point (1,3.8)
Similarly You find 2 on x-axis and 3.6 on y-axis for second point (2,3.6)
