Question

Determine which of the lines, if any, are parallel. Explain.

Answer 1

Answer:

Line A and Line C are parallel

Step-by-step explanation:

Slope Equation: $m=\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Step 1:  Find the slope of the first line

Line a passes through (-1, -2) and (1, 0).

$m = \frac{(0- (-2))}{(1 - (-1))}$

$m=\frac{2}{2}$

$m=1$

Step 2:  Find the slope of the second line

Line b passes through (4, 2) and (2, -2).

$m = \frac{(-2- 2)}{(2 - 4)}$

$m = \frac{-4}{-2}$

$m=2$

Step 3:  Find the slope of the third line.

Line c passes through (0, 2) and (-1, 1).

$m=\frac{(1-2)}{(-1 - 0)}$

$m=\frac{-1}{-1}$

$m=1$

Answer:  Line A and Line C are parallel