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

A:(-2,-5) and (-7,-3)
B:(-1,1) and (-6,-1)
C:(0,0) and (2,5)
D:(3,0) and (8,2)

Answer 1

• Slope formula:
  `(y_2-y_1)/(x_2-x_1)`

So lines that are parallel will have the same slope. So the answer we are looking for will have the same slope as the line containing points (3,4) and (-2,2). Use the slope formula to determine which of these points have the same slope.

Original Line:

`(4-2)/(3-(-2))=(2)/(5)`

Lines that are parallel to this line will have a slope of 2/5

Option A:

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

Option B:

`(1-(-1))/(-1-(-6))=(2)/(5)`

Option C:

`(5-0)/(2-0)=(5)/(2)`

Option D:

`(2-0)/(8-3)=(2)/(5)`

Results:

Since the only options that had a slope of 2/5 was options B and D, B and D are your answers.