What is the equation of a line with a slope of 0 and a y-intercept of 14?

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Discussion Overview

The discussion revolves around finding the equation of a line given a slope of 0 and a y-intercept of 14. The focus is on the mathematical reasoning behind the formulation of the equation.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • One participant presents the equation of the line as y = 14, derived from the slope-intercept form y = mx + b, where m = 0 and b = 14.
  • Another participant confirms the correctness of the equation provided.
  • A third participant comments on the nature of the function, noting that a slope of 0 indicates a constant function.
  • One participant expresses a preference for detailing the steps involved in deriving the equation, emphasizing the general form y = 0x + b.

Areas of Agreement / Disagreement

Participants generally agree on the equation of the line being y = 14, with no significant disagreement noted.

mathdad
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Given the slope = 0; y-intercept is 14, find the equation of the line.

Solution:

y = mx + b

y = 0x + 14

y = 14

The equation of the line is the horizontal line y = 14.

Correct?
 
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Correct.
 
Cool.
 
I hope you realized, as soon as you saw "slope is 0", that this was a constant function.
 
For y = 0x + b, the function is y = b. I just like working out the steps.
 

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