# How do you graph 2x + y = –1 by plotting points?

Aug 31, 2017

#### Answer:

See a solution process below:

#### Explanation:

First, solve for two points which solve the equation and plot these points:

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 $y = 0$

$2 x + 0 = - 1$

$2 x = - 1$

$\frac{2 x}{\textcolor{red}{2}} = - \frac{1}{\textcolor{red}{2}}$

$x = - \frac{1}{2}$ 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]}