Question

Tell whether the lines through the given points are parallel, perpendicular, or neither. (-3,1), (-7,-2), (2,-1), (8,4)

Answer 1

neither

Explanation:

(-3,1), (-7,-2)

Slope of the line containing point (-3,1), (-7,-2) is

`slope = (y_2-y_1)/(x_2-x_1) =(-2-1)/(-7+3) =(3)/(4)`

Slope of the line containing point (2,-1), (8,4) is

`slope = (y_2-y_1)/(x_2-x_1) =(4+1)/(8-2) =(5)/(6)`

Slope of both the lines are not same, so they are not parallel

the slope of both the lines are not negative reciprocal of one another

So they are not perpendicular

Hence they are neither parallel nor perpendicular.