Which line set of points are part of a line that is parallel to the line y = (-⅔)x + 1

(5, 0), (-1, 4)
(2, 0), (2, -1)
(2, -2), (6, 4)
(3, -2), (6, 0)

Question

Which line set of points are part of a line that is parallel to the line y = (-⅔)x ­ + 1

(5, 0), (­-1, 4)
(2, 0), (2, -­1)
(2, ­-2), (6, 4)
(3, -­2), (6, 0)

anonymous · Answer

A parallel line has to have the same gradient, so work out the gradient for each set of values, the gradient of a parallel line will be... -2/3

Eg. For the first set of values...

$$Gradient =\frac{  5- (-1) }{ 0-4}=\frac{ 6 }{ -4 }=\frac{ 3 }{ -2 }$$