1Cademy - Determining the Most Convenient Method to Graph $$x = 6$$, $$y = -\frac{3}{4}x + 1$$, $$y = -8$$, and $$4x

Example

Determining the Most Convenient Method to Graph $x = 6$ , $y = -\frac{3}{4}x + 1$ , $y = -8$ , and $4x - 3y = -1$

Determining the most straightforward technique to graph linear equations relies on their algebraic structure:

For $x = 6$ , the presence of only the variable $x$ means the graph is a vertical line.
For $y = -\frac{3}{4}x + 1$ , the equation is in slope-intercept form ( $y = mx + b$ ), so graphing using the slope and y-intercept is optimal.
For $y = -8$ , the single variable $y$ tells us the graph is a horizontal line.
For $4x - 3y = -1$ , the standard form ( $Ax + By = C$ ) makes finding the intercepts the most efficient graphing method.