Question

Determine which of the lines, if any, are parallel

Answer 1

Line a and c are parallel

Explanation:

Well, you find the slope of each of the lines. In doing so, you find that a and c have the same slope of 1. Then, you can ignore b and find the y intercept of a and c. Because the y-intercepts are different numbers, the lines are parallel.

Answer 2

Answer: a and c

Explanation:

To see if any of these lines are parallel, we will find the slopes of all three. Slope can be found with change in y over change in x.

Slope =
`\displaystyle (y_2-y_1)/(x_2-x_1)`

Line a;

`\displaystyle (0--2)/(1--1)=(2)/(2) =1`

Line b;

`\displaystyle (-2-2)/(2-4) =(-4)/(-2) =2`

Line c;

`\displaystyle (1-2)/(-1-0) =(-1)/(-1)=1`

Lines a and c are parallel.