How do you find a standard form equation for the line with m=0, b=1?

1 Answer
smendyka
Apr 3, 2017

See the entire solution process below:

Explanation:

Given the information in the problem we can use the slope-intercept formula to write and equation for the line. The slope-intercept form of a linear equation is: #y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value.

Substituting the information from the problem gives:

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

We can now transform this to the Standard Form of a linear equation. 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

Because #0x = 0# we can just move this term to the left side of the equation to give:

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

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