Question

6. Tell whether the lines are parallel, perpendicular, or neither. *

Line 1: (-3,-1) and (-7,-2)

Line 2: (2.-1) and (8,4)

Parallel with a slope of 1/4

Parallel with a slope of 5/6

Perpendicular with a slope of 1/4 and

Perpendicular with a slope of 1/4

Neither, slopes are 1/4 and 5/6

O

Neither, slopes are 3/10 and 1/2

Answer 1

Neither, slopes are 1/4 and 5/6

Explanation:

Let's find the slope for Line 1: (-3,-1) and (-7,-2)

m1 = (-2+1)/ (-7+3)

= -1/-4

=1/4

Line 2: (2.-1) and (8,4)

m2= (-4+1)/ (8-2)

= -3/6

= - 1/2

These slope values are not the same, so the lines are not parallel. The slope values are also not negative reciprocals, so the lines are not perpendicular. Then the answer is

Neither, slopes are 1/4 and 5/6