The equations of three lines are given below. Line 1: 8x+6y=2 Line 2: 3y=4x+5 Line 3: y=(3)/(4)x-6 For each pair of lines, determine whether they are parallel, perpendicular, or nelther.

## Step 1: Find the slope of Line 1### Rewrite in slope-intercept form ( ). Subtract from both sides: . Divide both sides by 6: . Simplify: . The slope of Line 1 is .## Step 2: Find the slope of Line 2### Rewrite in slope-intercept form. Divide both sides by 3: . The slope of Line 2 is .## Step 3: Find the slope of Line 3### The equation is already in slope-intercept form. The slope of Line 3 is .## Step 4: Compare Line 1 and Line 2### The slopes are and . Since , the lines are not parallel. Since , the lines are not perpendicular. Therefore, Line 1 and Line 2 are neither parallel nor perpendicular.## Step 5: Compare Line 1 and Line 3### The slopes are and . Since , the lines are not parallel. Since , the lines are perpendicular.## Step 6: Compare Line 2 and Line 3### The slopes are and . Since , the lines are not parallel. Since , the lines are not perpendicular. Therefore, Line 2 and Line 3 are neither parallel nor perpendicular.