IdeasCuriosas - Every Question Deserves an Answer Logo

In Mathematics / Middle School | 2014-09-15

Could someone please help me with finding the coordinate pairs of the three circled questions. I can do the graphing on my own

Asked by jjjaberk

Answer (2)

When you see how easy this is, you'll smack yourself upside the head.
Take #60. Those are two lines.
-- One line is x=-5 . That's a vertical line that crosses the x-axis where x=-5, and EVERY POINT on it is at x=-5 no matter what 'y' is at that point.
-- The other line is y=2 . That's a horizontal line that crosses the y-axis where y=2, and EVERY POINT on it is at y=2 no matter what 'x' is at that point.
So you have the intersection of two lines. On one of them, 'x' is always -5. On the other one, 'y' is always 2 . Now what do you suppose the coordinates will be at the point where they cross ? Could it possibly be anything different from (-5, 2) ? ?
In #62: On the first line, 'y' is always -6. On the other line, 'x' is always 1. They MUST intersect at (1, -6) .
In #64: On one line, 'y' is always -1. On the other line, 'x' is always zero. (The line where 'x' is always zero happens to be the y-axis.) I'm SURE that by now you know where these two lines intersect.
You don't even have to graph any of these to know where they intersect !
You can just look at the problem and the coordinate pair jumps out at you.

Answered by AL2006 | 2024-06-10

To find the coordinate pairs of the intersecting points, identify the equations corresponding to each question. Calculate their intersection points by setting their equations equal to each other and solving for x and y. This process allows you to determine the points where the given lines or curves cross each other.
;

Answered by AL2006 | 2024-12-26