Question

Graph each equation.

$y=-x+2$

Short answer

The required graph is represented by,

Step-by-step solution

Step 1. Determine the x-intercept.

Write x-intercept that can be obtained by using 0 in place of y into the provided equation.

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

Step 2. Determine the y-intercept.

Write y-intercept that can be obtained by using 0 in place of x into the provided equation.

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

Step 3. Take the help of x-intercept and y-intercept to draw the required graph.

Graph the points $\left(2,0\right)$and $\left(0,2\right)$ generated with the help of x-intercept and y-intercept respectively after it join them with the help of a straight line to get the graphical representation of the provided equation.