Question

Line 1 passes through (-3, -2) and (-1,4).Line 2 passes through (0, 1) and (-1, -2).Line 3 passes through (-6, -3) and (3, -6).(a) Find the slope of each line.Slope of Line 1= 3ХSlope of Line 2 = 2Slope of Line 3=13(b) For each pair of lines, determine whether they are parallel, perpendicular, or neither.Line 1 and Line 2: O Parallel O perpendicularO NeitherLine 1 and Line 3: O Parallel O perpendicularO NeitherLine 2 and Line 3: O Parallel O PerpendicularO NeitherCheck2020 McGraw

Answer 1

Two lines are parallel if they have the same slope. Two lines are said to be perpendicular if the product of their slopes is -1.

Note that none of the slopes are equal, so the either are perpendicular or neither.

Note that the product of the slope of line 1 and line 3 is

$3\cdot\frac{-1}{3}=-1$

So, line 1 and line 3 are perpendicular.

For the other cases, it can easily be seen that their are not perpendicular, neither parallel.