Find the coordinates of the y-intercept for the given equation. x+5y=4 (20,0) (0,20) (5,20) (0,(4)/(5))

To find the \( y \)-intercept of the equation \( x + 5y = 4 \), we need to determine the value of \( y \) when \( x = 0 \).<br /><br />Substitute \( x = 0 \) into the equation:<br /><br />\[<br />0 + 5y = 4<br />\]<br /><br />This simplifies to:<br /><br />\[<br />5y = 4<br />\]<br /><br />Now, solve for \( y \) by dividing both sides by 5:<br /><br />\[<br />y = \frac{4}{5}<br />\]<br /><br />Therefore, the coordinates of the \( y \)-intercept are \(\left(0, \frac{4}{5}\right)\).<br /><br />The correct answer is \(\left(0, \frac{4}{5}\right)\).