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Re: #34 Algebra Regents
Posted:
Jun 20, 2012 10:36 AM
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The intercept refers to a signed-distance from some reference point (the zero point).
The point of intersection has the coordinates of the point along that line/segment/axis of measurement.
So, in the equation: y = 3x + 2, the point of intersection is (0,2). The (y) intercept is +2 (defining the distance from the origin to the point of intersection (0,2) on the y-axis).
This definition of intercept becomes foundational in discussing geometry of the circle where intercepted arcs are associated with intersecting chords/tangents/secants. They become that which is "contained" along the arcs from the points created by the intersections with chords/secants/lines - hence it is the "distance" along that arc (using one intersection point as the reference (0) point for measurement)
-----Original Message-----
From: Roberta M. Eisenberg <bobbi@alumni.nd.edu>
To: nyshsmath <nyshsmath@mathforum.org>
Sent: Wed, Jun 20, 2012 8:12 am
Subject: Re: #34 Algebra Regents
Well, I guess that from now on, whatever somebody says on the internet will
determine our definitions. It will be nitpicking to insist on knowledge of
definitions. What then will we teach?
Bobbi E
On Jun 20, 2012, at 7:03 AM, Ryley David wrote:
> We found at least 3 websites that say the intercept is coordinates. It is
also unfair that the question says to refer to the graph so you are looking at
the points on the graph to get the intercepts. In my opinion, it is nitpicking
to not accept the coordinates.
>
>
>
> Dave Ryley
>
> Beacon, NY
>
> ________________________________
> From: owner-nyshsmath@mathforum.org [owner-nyshsmath@mathforum.org] on behalf
of Liz Waite [elizwaite@aol.com]
> Sent: Friday, June 15, 2012 9:53 PM
> To: nyshsmath@mathforum.org
> Subject: Re: #34 Algebra Regents
>
> They definitely said NO to the ordered pairs. This is not the first time this
has come up. If I were pressed for a year I would say it was actually a Math A
question when this last happened...so maybe 2006 or 2007?
> Liz
>
>
>
> Elizabeth Waite
> AMTNYS Vice-President
>
>
>
> -----Original Message-----
> From: MWindus <MWindus@brcs.wnyric.org>
> To: nyshsmath <nyshsmath@mathforum.org>
> Sent: Fri, Jun 15, 2012 9:27 am
> Subject: Re: #34 Algebra Regents
>
> Did anybody get a ruling from SED on this?
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