Question

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

• A. $y=x-1$
• B. $y=x+1$
• C. $y=2x-1$
• D. $y=2x+1$

Answer 1

The correct option is A $y=x-1$

Option(a): $y=x-1$
Substituting the values of $x$ in $y=x-1$ to find $y$:
$\bullet$ For $x=0,y=0-1\Rightarrow y=-1$
$\bullet$ For $x=1,y=1-1\Rightarrow y=0$
$\bullet$ For $x=2,y=3-1\Rightarrow y=2$
$\bullet$ For $x=-1,y=4-1\Rightarrow y=3$
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 $y$:
$\bullet$ For $x=0,y=0+1\Rightarrow y=1$
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 $y$:
$\bullet$ For $x=0,y=2\times 0-1\Rightarrow y=-1$
$\bullet$ For $x=1,y=2\times 1-1\Rightarrow y=1$
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 $y$:
$\bullet$ For $x=0,y=2\times 0+1\Rightarrow y=1$
Hence, values of $x$ and $y$ satisfies do not the equation $y=2x+1$
Therefore, option (a.) is the correct choice."