How to graph 2 x + y = – 1 by plotting points?

First, find the equation's two solution points and plot them on the graph.
First Point:
For ${\displaystyle x=0}$
${\displaystyle (2\cdot 0)+y=-1}$
${\displaystyle 0+y=-1}$
${\displaystyle y=-1}$ or ${\displaystyle (0,-1)}$
Second Point:
For ${\displaystyle y=0}$
${\displaystyle 2x+0=-1}$
${\displaystyle 2x=-1}$
${\displaystyle \frac{2x}{2}=-\frac{1}{2}}$
${\displaystyle x=-\frac{1}{2}}$ or ${\displaystyle (-\frac{1}{2},0)}$
We can next graph the two points on the coordinate plane:
graph{(x^2+(y+1)^2-0.025)((x+1/2)^2+y^2-0.025)=0 [-10, 10, -5, 5]}
Now, we can draw a straight line through the two points to graph the line:
graph{(2x+y+1)(x^2+(y+1)^2-0.025)((x+1/2)^2+y^2-0.025)=0 [-10, 10, -5, 5]}