What is the slope of the line y = -8?

2 Answers
Jim G.
May 26, 2017

#"slope "=0#

Explanation:

#"the line with equation " y=-8" is a horizontal line" #
#"parallel to the x-axis and passing through all points in"#
#"the plane with a y-coordinate of - 8 and as such has a"#
#"slope of zero"#
graph{y-0.001x+8=0 [-20, 20, -10, 10]}

EZ as pi
May 26, 2017

The line is horizontal, passing through the #y#-axis at #(0,-8)#

#m =0#

Explanation:

#y = -8" "# is the equation of a straight line and can therefore still
#color(white)(...................)# be written in the form #y= mx+c#

Notice that there is no #x-# term... This means that it is #0# and the equation is actually:

#y = 0x -8#
#m =0#

No matter what value of #x# is used, the value for #y# will still be #-8#

The line is horizontal and therefore has a slope of #0#

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