How do you find a standard form equation for the line with (1,5), m=0?

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Answer 1 · 2016-06-03T08:10:44

#y=5#

m is the gradient which is the amount of up or down for 1 along.

However, m=0 which means that there is no up or down. Consequently the line is horizontal (parallel to x-axis)

This horizontal line passes through #(x,y)->(1,5)#

So this horizontal line passes through #y=5#

This is the equation of the line.
,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Using algebra")#

Standard form equation is #y=mx+c#

Given that #m=0# and the line passes through the point (1,5) we have:

#color(brown)(y=mx+c)color(blue)(" "->" "5=(0xx1)+c#

Thus #c=5#

So #y=(0xx x)+5#

#y=5#