Answer:
Line 1: -2
Line 2: 2
Line 3: 2
Line 1 & 2 is parallel.
Line 2 & 3 is neither.
Step-by-step explanation:
To find the slope of a line use the slope formula and substitute the points into it:
Line 1
[tex]m = \frac{y_2-y_1}{x_2-x_1} =\frac{2--2}{0-2} =\frac{2+2}{-2} =\frac{4}{-2}=-2[/tex]
Line 2
[tex]m = \frac{y_2-y_1}{x_2-x_1} =\frac{-5--1}{1--1} =\frac{-5+1}{1+1} =\frac{-4}{2}= -2[/tex]
Line 3
[tex]m = \frac{y_2-y_1}{x_2-x_1} =\frac{0--4}{-3--5} =\frac{0+4}{-3+5} =\frac{4}{2}=2[/tex]
Parallel lines have the same slope and perpendicular lines have negative reciprocal slopes.
Line 1 & 2 is parallel.
Line 2 & 3 is neither.
