How do you find an ordered pair (x,y) of 2x-7=y?

1 Answer
Jan 30, 2017

Choose a (random) value for x, then solve the equation to get the accompanying value for y. These values will be the coordinates of the ordered pair.

Explanation:

Since this is the equation of a straight line, there are no restrictions on what you could choose for a value of x. In "official" terms, we say the domain of the function is all real numbers.

Say you pick something simple like x=1. Now, insert this value, and the equation becomes

27=y

or y=5

This means (1,5) must be a point on the line, and it is also an ordered pair that satisfies the equation.