Example 3 Graph: 2x+3y=18 Find the y-intercept: (0,square ) 2cdot square +3y=18 0+3y=18 3y=18 y= square Fin 2x

To find the y-intercept of the equation \(2x + 3y = 18\), we need to determine the value of \(y\) when \(x = 0\).<br /><br />Step 1: Substitute \(x = 0\) into the equation:<br />\[2(0) + 3y = 18\]<br /><br />Step 2: Simplify the equation:<br />\[0 + 3y = 18\]<br />\[3y = 18\]<br /><br />Step 3: Solve for \(y\):<br />\[y = \frac{18}{3}\]<br />\[y = 6\]<br /><br />Therefore, the y-intercept is \((0, 6)\).<br /><br />Answer: The y-intercept is \((0, 6)\).