Question

Graph the equation by plotting points .

$y=-2x+4$

Short answer

The required graph is

Step-by-step solution

Step 1. Given Information

The given equation is$y=-2x+4$

Step 2. Calculation

Consider any random values of $x=1,2$and substitute the coordinate in the given equation to find the value of coordinate $y$.

$$\begin{gathered} y=-2x+4 \\ y=-2\left(1\right)+4 \\ y=-2+4 \\ y=2 \end{gathered}$$

And

$$\begin{gathered} y=-2x+4 \\ y=-2\left(2\right)+4 \\ y=-4+4 \\ y=0 \end{gathered}$$

Thus, we have the required points as$A(1,2),B(2,0)$

Step 3. Graph

Plotting the obtained points in the rectangular system using desmos calculator, we get the required graph