Question 247951
When you don't have a graphing calculator, the best way of determining the graph is to create a table with two columns.  Label one column x, the other y.


Then assign a value to x.  Write it down under the x column.
Solve for y.  Write the result under the y column.
Your x and y values would be your first point in the cartesian plane.
You only need to do this with two x values to determine a straight line.
However, plotting more points helps to ensure us that we are on the right track.


When x=1, y=-(1)+1=0 ... our first point is (1,0)
When x=2, y=-(2)+1=-1 ... our second point is (2,-1)
When x=3, y=-(3)+1=-2 ... our third point is (3,-2)
Let's try a couple of negative x values:
When x=-1, y=-(-1)+1=1+1=2 ... our fourth point is (-1,2)
When x=-2, y=-(-2)+1=2+1=3 ... our fifth point is (-2,3)


If we plot all point in the cartesian plane, our graph would look like the one below.
Follow the line and the (x,y) values... they are all represented in this graph.


{{{graph (400, 400, -5, 5, -5, 5, -x+1)}}}