To find out if a point lies on the line, we can substitute the given coordinates into the equation and see if the equation holds true.
Let's try option a) (3,1):
x = 3, y = 1
Substituting these values into the equation, we get:
1 = 3 - 2
1 = 1
The equation holds true for this point.
Now let's try option b) (1,3):
x = 1, y = 3
Substituting these values into the equation, we get:
3 = 1 - 2
3 = -1
The equation does not hold true for this point.
Let's try option c) (-1,3):
x = -1, y = 3
Substituting these values into the equation, we get:
3 = -1 - 2
3 = -3
The equation does not hold true for this point.
Finally, let's try option d) (3,-1):
x = 3, y = -1
Substituting these values into the equation, we get:
-1 = 3 - 2
-1 = 1
The equation does not hold true for this point.
Therefore, the only point that lies on the line y = x - 2 is option a) (3,1).
y = x – 2
a. (3,1)
b. (1,3)
c. (-1,3)
d. (3,-1)
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