How do you write an equation in standard form for a line passing through M(0, 6), N(6, 0)?

1 Answer
Mar 13, 2018

#y + x - 6 = 0#

Explanation:

First you must find the gradient, and then the #y#-intercept.

To find the gradient, you do the change in #y# #-:# the change in #x#. The change in #y# is found by taking the first value away from the second value. Therefore #0 - 6 = -6#
The change in #x# is #6 - 0 = 6#
Therefore the gradient would be #(-6) -: 6 = -1#

The #y#-intercept is found when #x=0#. Therefore you can use the coordinate M, and the #y#-intercept is #+6#

The overall equation is therefore #y = -x + 6#
This can be rearranged to give the equation #y + x - 6 = 0#