Determine whether the pair of lines is parallel, perpendicular,or neither. x+5y=8 2x+10y=20 The lines are parallel political

## Step 1<br />To determine whether two lines are parallel, perpendicular, or neither, we need to compare their slopes. If the slopes are equal, the lines are parallel. If the slopes are negative reciprocals of each other, the lines are perpendicular. If neither of these conditions is met, the lines are neither parallel nor perpendicular.<br /><br />## Step 2<br />The given equations are \(x+5y=8\) and \(2x+10y=20\). We need to convert these equations into slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.<br /><br />## Step 3<br />For the first equation, \(x+5y=8\), we can rearrange it to get \(y = -\frac{1}{5}x + \frac{8}{5}\). So, the slope of the first line is \(-\frac{1}{5}\).<br /><br />## Step 4<br />For the second equation, \(2x+10y=20\), we can rearrange it to get \(y = -\frac{1}{5}x + 2\). So, the slope of the second line is also \(-\frac{1}{5}\).<br /><br />## Step 5<br />Since the slopes of both lines are equal, the lines are parallel.