Question

Which of the following statements best describes the graph of x + y = 2? (5 points)

It is a line which intersects the x-axis at (2, 2).
It is a line which intersects the y-axis at (2, 2).
It is a line joining the points whose x- and y-coordinates add up to 2.
It is a line joining the points whose x- and y-coordinates add up to 4.

Answer 1

It is a line joining the points whose x- and y-coordinates add up to 2.

Explanation:

Answer 2

This line has an x-intercept at y = 0, x = 2. (First statement is false.)
Its y-intercept is at x = 0, y = 2. (Second statement is false.)
The third statement is true, as adding the x- and y-coordinates should sum up to 2, as in the equation "x + y = 2".
The fourth statement is false, since this description would fit the equation x + y = 4.

Therefore the third statement is the correct one.