How do you write an equation of a line with slope 0 and y-intercept 5?

Answer 1

If the slope is #0# then by definition this is a horizontal line and for and all values of #x# (including when #x = 0#) y is the same. And, because we were given the y-intercept as #5# we know the equation for this line is:

#y = 5#

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Answer 2

Genesis Allen

The equation of the line with slope 0 and y-intercept 5 is y = 5.

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Answer 3

Genesis Allen

The equation of a line with slope ( m ) and y-intercept ( b ) is given by the equation ( y = mx + b ). In this case, the slope is ( m = 0 ) and the y-intercept is ( b = 5 ). Substituting these values into the equation of a line, we get:

[ y = 0x + 5 ]

Simplifying this equation, we have:

[ y = 5 ]

Therefore, the equation of the line with slope 0 and y-intercept 5 is ( y = 5 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.