Answer:
Option C is correct.
It is a line joining the points whose x and y coordinates add up to 2
Step-by-step 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
