Nicogirl Nicogirl

Today at 10:18 AM
Mathematics

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8.) A linear equation has more than one y-intercept. What can you conclude about the graph of the equation??

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Answer :

Today at 10:23 AM

i'm not sure if this is a trick question, but the definition of a linear function prevents the function from having more than one y-intercept. x-values can't be shared in a function; there is a unique x value for every y value. at the y-axis, the value of x is 0. two y-intercepts would mean that x would be 0 for TWO points on the linear function, which doesn't pass the vertical line test and, therefore, isn't a function.

a graph CAN, however, have more than one x-intercept. the line y = 0, which passes the vertical line test and sits directly on top of the x-axis, has infinitely many x-intercepts and it is still a linear function.

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maazalim7 maazalim7

Today at 10:23 AM

Answer:

Step-by-step explanation:

A straight line can either have 1 y-intercept or infinitely many y intercepts. The only case in which there are infinitely many y-intercepts is when the line represents the y-axis itself. On y-axis, x is always 0. So the line that represents the y-axis is the line x=0. However, it is not a linear equation. In short, only the line representing y-axis has more than 1 y-intercepts. There cannot be such a linear equation(function).

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