Question

Graph each equation.

$x+2y=-1$

Short answer

The graph of the equation $x+2y=-1$is:

Step-by-step solution

Step 1. Find the x and y-intercepts of the equation x+2y=−1.

To find the x-intercept, substitute 0 for y and find the value of x.

$$\begin{gathered} x+2y=-1 \\ x+2\left(0\right)=-1 \\ x+0=-1 \\ x=-1 \end{gathered}$$

Therefore, the x-intercept is $-1$.

As, the x-intercept is $-1$that means the graph of $x+2y=-1$ will intersect the x-axis at $\left(-1,0\right)$.

To find the y-intercept, substitute 0 for x and find the value of y.

$$\begin{gathered} x+2y=-1 \\ 0+2y=-1 \\ 2y=-1 \\ y=-\frac{1}{2} \end{gathered}$$

Therefore, the y-intercept is $\frac{-1}{2}$.

As, the y-intercept is$\frac{-1}{2}$that means the graph of$x+2y=-1$ will intersect the y-axis at width="59">0,−12.

Step 2. Draw the graph of the equation x+2y=−1.

Draw the graph of the equation$x+2y=-1$ by using the information that the graph of the equation$x+2y=-1$ is a line passing through the points$\left(-1,0\right)$ and $\left(0,\frac{-1}{2}\right)$.

Therefore, the graph of the equation$x+2y=-1$ is: