How do you write an equation in standard form for the horizontal and vertical line through (4,5)?

1 Answer
smendyka
Jul 20, 2017

See a solution process below:

Explanation:

The equation for a horizontal line going through #(4, 5)# is:

#y = 5# where 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 then write the equation above as:

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

The equation for a vertical line going through #(4, 5)# is:

#x = 4# where for each and every value of #y#, #x = 4#

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 then write the equation above as:

#color(red)(1)x + color(blue)(0)y = color(green)(4)#

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