Question 529771
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A *[tex \Large y]-intercept cannot be a number.  The *[tex \Large y]-intercept of a line is the point where the line intercepts (intersects or crosses, if you would rather) the *[tex \Large y]-axis.  The word "point" being the operative word.  A point in *[tex \Large \mathbb{R}^2] is designated by an ordered pair.  A *[tex \Large y]-intercept, in general terms, is an ordered pair of the form *[tex \Large \left(0,\,b)].


Hence your question, properly posed would be either:


"Write an equation representing a set of ordered pairs that comprise a line with a slope of 6 and a *[tex \Large y]-intercept of *[tex \Large \left(0,\,-4\right)]"


or


"Write an equation representing a set of ordered pairs that comprise a line with a slope of 6 and a *[tex \Large y]-coordinate of the *[tex \Large y]-intercept equal to *[tex \Large -4]"



*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ mx\ +\ b]


Is an equation of a line with a slope of *[tex \Large m] and where *[tex \Large b] is the *[tex \Large y]-coordinate of the *[tex \Large y]-intercept.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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