Question 115765
{{{Determine}}} whether the equation is {{{linear}}} or {{{not}}}.  
Then graph the equation.   

If the equation, for example, is 

 {{{y = 5x – 3}}}

and if we subtract {{{5x}}} from both sides, then we can write the given equation as 
{{{-5x + y = -3}}}

 
Since we can write it in the standard form,

 {{{Ax + By = C}}}, 

then we have a linear equation.  

This means that we will have a {{{line}}} when we go to graph this. 

 1):  find three ordered pair solutions

use a chart… then choose three {{{x}}} values

here are three {{{x}}} values I’m going to use: 

{{{-1}}},{{{ 0}}}, and {{{1}}}
(you can pick different three {{{x}}} values if you want)

x  | y = 5x – 3         |(x, y)

-1 | y = 5(-1) - 3 = -8 |(-1, -8)

0 | y = 5(0) - 3 = -3   |(0, -3)

1 | y = 5(1) - 3 = 2|(1, 2)

2):  plot the points found in step {{{1}}}

3):  draw the graph

here is the graph of my example:


*[invoke graphing_linear_equations "slope-intercept", 1, 2, 3, 5, -3]