asked 2.2k views
3 votes
Any line with a slope of zero is parallel to the

asked
User Miko Chu
by
7.8k points

2 Answers

3 votes

Answer:

x-axis

Explanation:

A slope of zero means a line is a horizontal line. This would be parallel to the x-axis, since it runs horizontally.

answered
User Oskar Smith
by
7.4k points
2 votes

Answer:

x-axis

Explanation:

a line in the cartesian plane is defined by the general equation:


y=mx+b

where
m is the slope and
b is the y-intercept, so for a given
x value this return a value for
y.

When the slope of a line is equal to zero (
m=0) we have:


y=b (
y has always the same constant value)

which means that the value of
y for any given
x is the same, we have a constant function, that is represented in the plane as a horizontal line.

So when the slope is zero the line is a horizontal line, which is parallel to the x-axis since the x-axis is also a horizontal line.

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.