Question

Which of the following statements best describes the graph of x + y = 2?

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

Option C is correct.

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

Explanation:

Given the graph:

x+y = 2 .....[1]

where

x represents the x-coordinate and

y represents the y-coordinate.

Option A.

False, because

When a graph intersects at x-axis, then the value of y =0

substitute in [1] we get;

x+0 = 2

x = 2

⇒It is a line which intersects the x-axis at (2, 0).

Option B.

False, because

When a graph intersects at y-axis, then the value of x=0

substitute in [1] we get;

0+y = 2

y= 2

⇒It is a line which intersects the y-axis at (0, 2).

Option C

True, because it is a line joining the point whose x-coordinate and y-coordinate add up to 2 i.e x+y = 2 .

Option D.

False, because it a line joining the point whose x-coordinate and y-coordinate add up to 2 but not 4

Answer 2

I believe the correct answer from the choices listed above is the third option. The statement that best describes the graph of x+y=2 would be that it is a line joining the points whose x and y coordinates add up to 2. These points can be x=1 and y=1 that then adds up to 2. Hope this answers the question.