describe error in determining whether the lines are parallel or neither.

Answer 1

Normal a line is of this form y=mx+c where m is the slope of the line.

Now we compare slopes of two equation say them as m1 and m2.

m1= slope of first equation

m2= slope of second equation

if m1=m2 then two lines are parallel.

if m1=(-1)/m2 then the two lines are perpendicular

if the above two conditions don't satisfy then they are neither parallel nor perpendicular

Take an example equation 1 as y=4x+3

equation 2 as y=(-1/4)x +2

here m1=4

m2=-1/4

so m1= -1/(m2) i.e 4= - (-1/4) =4

Answer 2

slopes must be equal for the lines to be parallel

slope must be negative inverses to be perpendicular

if slopes aren't equal or not negative inverses, they are neither

examples:

y=2x, slope = 2

y=2x +3 slope =2, lines are parallel

y=2x

y=-(1/2)x, slopes are negative inverses, and lines are perpendicular

y=3x

y=2x

3 doesn't equal 2 and 3 is not the negative inverse of 2, so lines are neither parallel or perpendicular

major mistake is ignoring the sign, positive or negative