The standard form of a linear equation is: #color(red)(A)x + color(blue)(B)y = color(green)(C)#
Where, if at all possible, #color(red)(A)#, #color(blue)(B)#, and #color(green)(C)#are integers, and A is non-negative, and, A, B, and C have no common factors other than 1
Horizontal Line
A horizontal line has the same value for #y# for each and every value of #x#. Therefore, because the #y# value for the point in the problem is #-8# the equation for this line is:
#y = -8#
To put this in standard format, the coefficient for #x# is #0# and the coefficient for #y# is #1# giving:
#color(red)(0)x + color(blue)(1)y = color(green)(-8)#
Vertical Line
A horizontal line has the same value for #x# for each and every value of #y#. Therefore, because the #x# value for the point in the problem is #-1# the equation for this line is:
#x = -1#
To put this in standard format, the coefficient for #y# is #0# and the coefficient for #x# is #1# giving:
#color(red)(1)x + color(blue)(0)y = color(green)(-1)#
