How do you find a standard form equation for the line with (6,7); m= undefined?

2 Answers
Jun 9, 2016

Let's start with #y=mx+b#

Explanation:

Use what we know:
#7=6*m+b->#

Now we express #b# in terms of #m#:
#b=7-6m->y=mx+7-6m->y=m(x-6)+7#

An other way:
From the "simple" function #y=mx#, that passes #(0,0)# we have translated #6# to the right, which makes for the #-6#, and #7# upward, which makes for the #+7#

Jun 9, 2016

x=6.

Explanation:

We first observe that the slope of the required line = m is undefined. This means that the reqd. line must be vertical line & as, by data, it passes through the point (6,7), its eqn. must be x=6.