1Cademy - Determining the Most Convenient Method to Graph $$y = 5$$, $$4x - 5y = 20$$, $$x = -3$$, and $$y = -\frac{5}{9}x + 8$$

Example

Determining the Most Convenient Method to Graph $y = 5$ , $4x - 5y = 20$ , $x = -3$ , and $y = -\frac{5}{9}x + 8$

Applying the strategy to choose the best graphing method for specific equations involves identifying their forms:

For $y = 5$ , there is only one variable ( $y$ ). Thus, its graph is a horizontal line crossing the y-axis at $5$ .
For $4x - 5y = 20$ , the equation is in standard form ( $Ax + By = C$ ). The most efficient approach is finding the x- and y-intercepts and one extra check point.
For $x = -3$ , the single variable $x$ indicates a vertical line crossing the x-axis at $-3$ .
For $y = -\frac{5}{9}x + 8$ , the equation is already in slope-intercept form ( $y = mx + b$ ). The easiest method is to use its slope and y-intercept to plot the line.

Updated 2026-05-03

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