Determine which of the lines, if any, are parallel. Explain.
Line a passes through (-1, - 2) and (1,0).
Line b passes through (4, 2) and (2, – 2).
Line c passes through (0, 2) and (-1,1).
The slopes are

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igoroleshko156 igoroleshko156 · Answer 1 · 2021-03-04T23:58:09+01:00

Answer:

Line A and Line C are parallel

Step-by-step explanation:

Slope Equation: [tex]m=\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

Step 1: Find the slope of the first line

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

[tex]m = \frac{(0- (-2))}{(1 - (-1))}[/tex]

[tex]m=\frac{2}{2}[/tex]

[tex]m=1[/tex]

Step 2: Find the slope of the second line

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

[tex]m = \frac{(-2- 2)}{(2 - 4)}[/tex]

[tex]m = \frac{-4}{-2}[/tex]

[tex]m=2[/tex]

Step 3: Find the slope of the third line.

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

[tex]m=\frac{(1-2)}{(-1 - 0)}[/tex]

[tex]m=\frac{-1}{-1}[/tex]

[tex]m=1[/tex]

Answer: Line A and Line C are parallel