Your first point should always be shown in the y-intercept following the standard form for slope-intercept form
Y = mx + b
b = y - intercept
In this case your first point would be (0,1)
You next point would be following the slope which is -2x. When you graph a equation always know that it is rise over run. For this line, it would be going from left to right since it is a negative line.
Your second point would go down 2 points from your starting point (0,1) and run 1 to the right in the x-axis, which is also called, (1,-3)