Determine the slope and the y-intercept of the following equation. 5x-y=1 The slope is -(3)/(4) (Type an integer or a simplified fraction.) The y-intercept is (0,3) (Type an ordered pair using integers or fractions .)

To determine the slope and the y-intercept of the equation \(5x - y = 1\), we need to rewrite it in the slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.<br /><br />Starting with the given equation:<br />\[ 5x - y = 1 \]<br /><br />We solve for \(y\) by isolating it on one side of the equation:<br />\[ -y = -5x + 1 \]<br /><br />Next, we multiply both sides by \(-1\) to get \(y\) by itself:<br />\[ y = 5x - 1 \]<br /><br />Now the equation is in the slope-intercept form \(y = mx + b\), where \(m = 5\) and \(b = -1\).<br /><br />So, the slope is \(5\) and the y-intercept is \((0, -1)\).<br /><br />The slope is \(5\).<br />The y-intercept is \((0, -1)\).