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A linear function is given by formula y= 1/ x−2. Find the y-intercept of the graph.

a) (0, -2)
b) (0, -1)
c) (0, 1)
d) (0, 2)

User Apteryx
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1 Answer

5 votes

Final answer:

The student provided a function that isn't linear, therefore, it doesn't have a y-intercept in the context of the typical linear function approach. A linear equation must have a constant as the y-intercept, which is the term when x equals zero.

Step-by-step explanation:

The student question involves finding the y-intercept of a given linear function. We're given the function y = 1 / (x - 2), but this is not a linear function because it contains a variable in the denominator. However, considering this as a typo, if the equation intended was y = 1 - (x/2) or any other equation in the form y = mx + b, we would look for the constant term when x = 0 which gives us the y-intercept. For a linear equation in the slope-intercept form, y = mx + b, the y-intercept is represented by b. So, if the equation was a proper linear equation with a constant term, this constant term would be the y-intercept. However, since the provided equation doesn't fit the linear model, it does not have a y-intercept in the context of this question.

User Thibaut Loiseleur
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