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

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The equation of a line with a slope of 0 and a y-intercept of 14 is y = 14. This represents a horizontal line at the constant value of 14. The general form of the equation is y = mx + b, where m is the slope and b is the y-intercept. Since the slope is 0, the equation simplifies to y = b. The discussion confirms the understanding that a slope of 0 indicates a constant function.
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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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