Are the graph # y=x# and #y=3# perpendicular?

1 Answer
EZ as pi
May 7, 2016

No. #y = x# has a gradient of 1.
#y = 3# is a horizontal line, ie the gradient = 0.
These two lines meet at an angle of 45°

Explanation:

Consider # y = x and y = x# in the form # y = mx + c#

#y = 1x + 0# The slope = 1. It is a diagonal line and a line of symmetry of the cartesian plane. It lies at an inclination of 45°.

#y = 0x + 3# has a gradient of 0.

A vertical line would be perpendicular to a horizontal line - a line with an infinite (undefined) gradient and a line with a zero gradient meet at 90°.

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