Parallel lines have the same slope. Find the slope of all the lines and compare to see which lines are parallel.
Find slope using the formula y₁ - y₂ / x₁ - x₁.
The first set of coordinates is (3, 4) and (-2, 2). Plug these values in and simplify.
4 - 2 / 3 - (-2)
2 / 3 + 2
2 / 5
Continue plugging and simplifying.
<u>A: (-2, -5) and (-7, -3)
</u>
-5 - (-3) / -2 - (-7)
-5 + 3 / -2 + 7
-2 / 5
<u>B: (-1, 1) and (-6, -1)</u>
1 - (-1) / -1 - (-6)
1 + 1 / -1 + 6
2 / 5
<u>C: (0, 0) and (2, 5)</u>
0 - 5 / 0 - 2
-5 / -2
5 / 2
<u>D: (1, 0) and (6, 2)
</u>
0 - 2 / 1 - 6
-2 / -5
2 / 5
<u>E: (3, 0) and (8, 2)</u>
0 - 2 / 3 - 8
-2 / -5
2 / 5
All the lines with a slope of 2/5 are parallel to the given line.
<h3>
Answer:</h3>
B, D, E
