fosilifer0ag

2023-03-13

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

trkshkjf

First, find the equation's two solution points and plot them on the graph.
First Point:
For $x=0$
$\left(2\cdot 0\right)+y=-1$
$0+y=-1$
$y=-1$ or $\left(0,-1\right)$
Second Point:
For $y=0$
$2x+0=-1$
$2x=-1$
$\frac{2x}{2}=-\frac{1}{2}$
$x=-\frac{1}{2}$ or $\left(-\frac{1}{2},0\right)$
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]}

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