Question

Graph each equation.

$y=x+2$

Short answer

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

Step-by-step solution

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

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

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

Therefore, the x-intercept is $-2$.

As, the x-intercept is $-2$that means the graph of $y=x+2$ will intersect the x-axis at $\left(-2,0\right)$.To find the y-intercept, substitute 0 for x and find the value of y.

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

Therefore, the y-intercept is 2.

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

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

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

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