What is the equation of the line which has a slope of #0# and passes through the point #(2,3)#?

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Jim G. Share
Feb 3, 2018

Answer:

#"see explanation"#

Explanation:

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#"a line with a slope of zero, however, is a special case"#

#"this indicates that the line is parallel to the x-axis passing"#
#"through all points in the plane with the same y-coordinate"#

#"the equation of this line is "y=c#

#"where c is the value of the y-coordinate"#

#"the point "(2,3)" has a y-coordinate of 3"#

#rArry=3larrcolor(blue)"is the equation of the line"#
graph{y-0.001x-3=0 [-10, 10, -5, 5]}

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Feb 3, 2018

Answer:

#y=mx+b#
#y=3#

Explanation:

The slope interception form is given as
#y=mx+b#
There m is the slope and b the interception with the y-axis.
In your case #m=0# and #b=3#. Therefore, it is just a straight line.

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