Line set of points are part of line

Question

which line set of points are part of a line that is parallel to the line y= (-2/3)x + 1

Answer 1

Parallel lines have the same slope. They will be parallel if you can subtract two points (x₁, y₁) and (x₂, y₂) to equal -2/3.

 

-2/3 = (y₁ - y₂)/(x₁ - x₂)

 

parallel line

 

y= (-2/3)x + b

 

Different values of b (other than 1 which gives the same line) give infinite parallel lines to y = (-2/3)x + 1