What is the basic difference between the lines y = x and y = -x?

1 Answer
Mar 23, 2018

See explanation


Tony B

Consider #y=x#

The count of #x's# is 1 so although it is not normally shown we actually have #y=+1x#

This number 1 is the slope (gradient) which is the amount of up or down for 1 along reading left to right on the x-axis.

As the vertical position increases (positive direction) the slope is upwards

Consider #y=-x -> y=-1x#

In this case the the vertical position decreases (negative direction) the slop is downwards.