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: $\frac{y_2-y_1}{x_2-x_1}$

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:

$\frac{4-2}{3-(-2)}=\frac{2}{5}$

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

Option A:

$\frac{-5-(-3)}{-2-(-7)}=-\frac{2}{5}$

Option B:

$\frac{1-(-1)}{-1-(-6)}=\frac{2}{5}$

Option C:

$\frac{5-0}{2-0}=\frac{5}{2}$

Option D:

$\frac{2-0}{8-3}=\frac{2}{5}$

Results:

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