Graphing Linear Functions in Standard Form

Each graph has a different set of $x\text{-}$ and $y\text{-}$intercepts. By finding these, we can identify which graph belongs to which equation.

$x\text{-}$intercept

The $x\text{-}$intercept occurs when $y=0.$ By substituting $0$ for $y$ into our equation and solving for $x,$ we can find the $x\text{-}$intercept. The $x\text{-}$intercept is at the point $(3,0).$

$y\text{-}$intercept

To find the $y\text{-}$intercept, we substitute $0$ for $x$ and solve for $y.$ The $y\text{-}$intercept is at the point $(0,4).$

Graph

Now that we know the intercepts, we can draw the graph of this equation.

This graph corresponds to option $A.$