How do you find a standard form equation for the line with (4,5) ; parallel to the x-axis?

1 Answer
Aug 29, 2017

See a solution process below:

Explanation:

Any line parallel to the #x#-axis is a horizontal lines. The rule for horizontal lines is for each and every value of #x#, #y# is the same.

So, for this problem, for each and every value of #x#, #y = 5#

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

We can convert #y = 5# to standard form as:

#color(red)(0)x + color(blue)(1)y = color(green)(5)#