In the xy-plane, which of the following (x,y) pairs defines a point that lies on the same line as the two points defined by the pairs (2,3) and (4,1)? : Crackverbal Support

In the xy-plane, which of the following (x,y) pairs defines a point that lies on the same line as the two points defined by the pairs (2,3) and (4,1)? Print

Modified on: Tue, 12 Oct, 2021 at 2:10 PM

CONCEPT: The question is from the area of coordinate Geometry

SOLUTION:
Slope of the line =y2-y1/x2-x1
= 1-3/(4-2) = -1
Substitute (x, y) for both point to define the equation of the line.
Using (2,3)-
y = -x + b
3= -2 + b
=>b=5
Hence the line is y = -x + 5
Now plug in the values of x and y.
Using option (E),you would observe -1 = -6 +5. Hence (E)
(OPTION E)

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In the xy-plane, which of the following (x,y) pairs defines a point that lies on the same line as the two points defined by the pairs (2,3) and (4,1)? Print

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