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QUESTION

How do you find slope and y-intercept of ##y=6##?

The is 0 and the y intercept is 6.

Slope intercept form is ##y=mx+b## .

The ##y=## in slope intercept form is really the ##y##-intercept and ##b## can confuse you when you don't know that.

There is no slope given and so we can also substitute ##0## for ##m##. There is no ##x## we substitute ##0## for ##x## in the formula.

When there is no ##mx## all you have is ##b##. So our equation really looks like this.

original

##y=mx+b##

with substitutions

##y=(0)(0)+6##

Finally

##y=6##

What does that mean?

if ##y = 6##, then the y-intercept is ##6##.

If there is no slope, then the slope is ##0##.

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