105k views
2 votes
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
by
7.6k points

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
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.