Question

Can someone help me with this

Answer 1

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

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{2--2}{0-2} =\frac{2+2}{-2} =\frac{4}{-2}=-2$

Line 2

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{-5--1}{1--1} =\frac{-5+1}{1+1} =\frac{-4}{2}= -2$

Line 3

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{0--4}{-3--5} =\frac{0+4}{-3+5} =\frac{4}{2}=2$

Parallel lines have the same slope and perpendicular lines have negative reciprocal slopes.

Line 1 & 2 is parallel.

Line 2 & 3 is neither.