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

Mar 29, 2017

see explanation.

#### Explanation:

To graph a line we require 2 points.

The equation of a line in $\textcolor{b l u e}{\text{slope-intercept form}}$ is.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
where m represents the slope and b, the y-intercept.

$y = - 2 x + 3 \text{ is in this form}$

$\Rightarrow \text{y-intercept "=b=3to(0,3)color(red)" is point on line}$

To find another point on the line, choose any value for x, substitute into the equation and evaluate for y

$x = 3 \to y = \left(- 2 \times 3\right) + 3 = - 6 + 3 = - 3$

$\Rightarrow \left(3 , - 3\right) \textcolor{red}{\text{ is a point on the line}}$

Plot the 2 points, draw a straight line through them to obtain the graph.
graph{-2x+3 [-10, 10, -5, 5]}