Question

Which of the following points does not satisfy the equation $y=\frac{x}{2}-1?$

• A. $(1,\frac{-1}{2})$
• B. $(2,0)$
• C. $(0,1)$
• D. $(4,2)$

Answer 1

Answer: (A), (B)

$(2,0)$

Option (a): $(1,\frac{-1}{2})$
Given, at $x=1,y=-\frac{1}{2}$
Substitute $x=1$ in the equation $y=\frac{x}{2}-1$
$\Rightarrow$ $y=\frac{1}{2}-1=-\frac{1}{2}$
Hence, the given option is true.

Option (b): $(2,0)$
Given, at $x=2,y=0$
Substitute $x=2$ in the equation $y=\frac{x}{2}-1$
$\Rightarrow$ $y=\frac{2}{2}-1=0$
Hence, the given option is true.

Option (c): $(0,1)$
Given, at $x=0,y=1$
Substitute $x=0$ in the equation $y=\frac{x}{2}-1$
$\Rightarrow$ $y=\frac{0}{2}-1=-1$
Hence, the given option is false.

Option (d): $(4,2)$
Given, at $x=4,y=2$
Substitute $x=4$ in the equation $y=\frac{x}{2}-1$
$\Rightarrow$ $y=\frac{4}{2}-1=1$
Hence, the given option is false.

Therefore, option (a.) and (b.) are the correct choices.