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Question

# Which one of the following straight line equations satisfy the given coordinates? (0,−1),(1,0),(3,2),(4,3)

A
y=x1
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B
y=x+1
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C
y=2x1
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D
y=2x+1
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Solution

## The correct option is A y=x−1Option(a): y=x−1 Substituting the values of x in y=x−1 to find y: ∙ For x=0,y=0−1⇒y=−1 ∙ For x=1,y=1−1⇒y=0 ∙ For x=2,y=3−1⇒y=2 ∙ For x=−1,y=4−1⇒y=3 Hence, all the values of x and y satisfies the equation y=x−1 Option(b): y=x+1 If any one of the coordinates do not satisfies the equation , theses points will not be on this line. Substituting the values of x in y=x+1 to find y: ∙ For x=0,y=0+1⇒y=1 Hence, values of x and y satisfies do not the equation y=x+1 Option(c): y=2x−1 If any one of the coordinates do not satisfies the equation , theses points will not be on this line. Substituting the values of x in y=2x−1 to find y: ∙ For x=0,y=2×0−1⇒y=−1 ∙ For x=1,y=2×1−1⇒y=1 Hence, values of x and y satisfies do not the equation y=2x−1 Option(d): y=2x+1 If any one of the coordinates do not satisfies the equation , theses points will not be on this line. Substituting the values of x in y=2x+1 to find y: ∙ For x=0,y=2×0+1⇒y=1 Hence, values of x and y satisfies do not the equation y=2x+1 Therefore, option (a.) is the correct choice."

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