Question

Can someone help me with this

Answer 1

Line 1: -2

Line 2: 2

Line 3: 2

Line 1 & 2 is parallel.

Line 2 & 3 is neither.

Explanation:

To find the slope of a line use the slope formula and substitute the points into it:

Line 1

`m = (y_2-y_1)/(x_2-x_1) =(2--2)/(0-2) =(2+2)/(-2) =(4)/(-2)=-2`

Line 2

`m = (y_2-y_1)/(x_2-x_1) =(-5--1)/(1--1) =(-5+1)/(1+1) =(-4)/(2)= -2`

Line 3

`m = (y_2-y_1)/(x_2-x_1) =(0--4)/(-3--5) =(0+4)/(-3+5) =(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.