Determine the graph of a linear function showing its intercepts

Question

 Draw a graph whose line represents the function f(x)=-x+8

Answer 1

The function:    f(x)=-x+8

  may be plotted on the Cartesian Coordinate System (x-and-y) with f(x) meaning y.

 

Two points determine a line.  Connect those two points and keep on going in each direction.

 

Often, the y-intercept (the value of y when x=0) and the x-intercept (the value of x when y=0) are easy to find.  Here, those two points are:

     (0,8)      [where line crosses y-axis]

     (8,0)      [where line crosses x-axis]