# How do you graph y= -2x+3?

Jun 15, 2018

See a solution process below:

#### Explanation:

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

First Point: For $x = 0$

$y = \left(- 2 \cdot 0\right) + 3$

$y = 0 + 3$

$y = 3$ or $\left(0 , 3\right)$

First Point: For $x = 2$

$y = \left(- 2 \cdot 2\right) + 3$

$y = - 4 + 3$

$y = - 1$ or $\left(2 , - 1\right)$

We can next plot the two points on the coordinate plane:

graph{(x^2+(y-3)^2-0.035)((x-2)^2+(y+1)^2-0.035)=0 [-10, 10, -5, 5]}

Now, we can draw a straight line through the two points to graph the line:

graph{(y + 2x - 3)(x^2+(y-3)^2-0.035)((x-2)^2+(y+1)^2-0.035)=0 [-10, 10, -5, 5]}