Suppose we are given the following. Line 1 passes through (2,-8) and (-2,2) Line 2 passes through (0,-1) and (5,6) Line 3 passes through (2,-2) and (4,-7) (a) Find the slope of each line. Slope of Line1= square Slope of Line2= square Slope of Line3= square (b) For each pair of lines determine whether they are parallel, per Line 1 and Line 2: Parallel Perpendicular Line 1 and Line 3: Oparallel Perpendicular Line 2 and Line 3: Parallel Perpendicular

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Answer 1

(a) To find the slope of each line, we can use the formula:

For Line 1:

For Line 2:

For Line 3:

So, the slopes are:

(b) To determine if the lines are parallel or perpendicular, we compare their slopes.Line 1 and Line 2:The slopes are

and

, which are neither equal nor negative reciprocals. Therefore, they are neither parallel nor perpendicular.Line 1 and Line 3:The slopes are

and

, which are equal. Therefore, they are parallel.Line 2 and Line 3:The slopes are

and

, which are neither equal nor negative reciprocals. Therefore, they are neither parallel nor perpendicular.

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