Question

Which ordered pies could be points on a line parallel to the line that contains (3,4)and(-2,2) check all that apply

Answer 1

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.

A: (-2, -5) and (-7, -3)

-5 - (-3) / -2 - (-7)

-5 + 3 / -2 + 7

-2 / 5

B: (-1, 1) and (-6, -1)

1 - (-1) / -1 - (-6)

1 + 1 / -1 + 6

2 / 5

C: (0, 0) and (2, 5)

0 - 5 / 0 - 2

-5 / -2

5 / 2

D: (1, 0) and (6, 2)

0 - 2 / 1 - 6

-2 / -5

2 / 5

E: (3, 0) and (8, 2)

0 - 2 / 3 - 8

-2 / -5

2 / 5

All the lines with a slope of 2/5 are parallel to the given line.

Answer:

B, D, E