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5 votes
Which group of ordered pairs are on the line giving by the equation 5x-2y=6

1 Answer

4 votes

Answer:

There are an infinite number of pairs.

Explanation:

You can solve the equation by isolating y on one side.

1. Subtract 5x from both sides

=

-2y = 6 - 5x

2. Get rid of the -2 on y to isolate y. Divide both sides by -2.

=

y = (6-5x)/2 or: y = -2.5x + 3

3. You can then put any x value into the equation and solve for an ordered pair.

EXAMPLE:

x = 0

1. y = -2.5(0) + 3

2. y = 0 + 3 or y = 3

You could then put it into an ordered pair. The x value goes first (0, y) and then the y value (0, 3), so your answer is really just ARL (all real numbers)