Are these given points parallel, perpendicular, or neither ? (2,-1) , (5,-7) , (0,0) , (-1,2)

Answer 1

I am assuming that (2,-1) and (5,-7) are a line and (0,0) and (-1,2) is the other line.

To find this you use the formula for a slope of the line.

Which is:

rise

run

y₂-y_{1 (look up slope formula if this looks confusing)}

x₂-x₁

So we would do this with both lines.

-7-(-1) = -2

5-2 1

-2 is our slope here.

2-0 = -2

-1-0 1

-2 is our slope here too.

This would signify that these lines are parallel to each other when graphed.

For perpendicular lines we would need negative reciprocals. (-2/1 and 1/2)

Answer 2

points are neither parallel nor perpendicular

parallel and perpendicular refers to lines