Question

Find the linear equation(s) which satisfies/ satisfy the given ordered pair: $(2,5)$

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

Answer 1

Answer: (A), (C)

$2x+y=1$

An ordered pair $(x,y)$ is equivalent to a point in the coordinate system.
Hence, an infinite number of lines can pass through a given point.

From the given options, let's substitute the ordered pair and verify the equation.

For $y=2x+1,$
$\Rightarrow 5=2\left(2\right)+1$
$\Rightarrow 5=5$
LHS = RHS
$\therefore$ This is a possible equation.

Similarly, we substitute the ordered pair in other equations and find that $2x+y=1$ also verfies the ordered pair.

However, $y=x^2+1$ is not an linear equation.