Question #b248c

1 Answer
Apr 24, 2017

#y=-x+6#

Explanation:

A line at #45^o# has a gradient of #1# as equal increments in #x# give equal increments in #y#.

For two perpendicular lines the products of their gradient is #-1#
#m_1*m_2=-1#

As #m_1=1# it follows that #m_2=-1#.

Now use the formula
#y-y_1=m(x-x_1)#
to find the equation of the line

#y-0=-1(x- 6)#
#y=-x+6#