Question

Which of the following equations represents the graph below?

• A. 5x+2y=14
• B. 5x+8y=10
• C. 5x+2y=10
• D. 7x+3y=10

Answer 1

The correct option is C 5x+2y=10

Let's take the ordered pairs from the graph and check.

Let's consider the equation 5x+2y=10 first.

The ordered pair (0,5) indicates x=0 and y=5 .

Plug in these values into the equation. we get

5(0)+2(5) =10
$\Rightarrow$ 0+10= 10

$\Rightarrow$ 10= 10

$\Rightarrow$ LHS= RHS.

So, the ordered pair (0,5) satisfy the equation.


The ordered pair (2,0) indicates x=2 and y=0 .

Plug in these values into the equation. we get

5(2)+2(0) =10
$\Rightarrow$ 10+0= 10

$\Rightarrow$ 10= 10

$\Rightarrow$ LHS= RHS.

So, the ordered pair (2,0) satisfy the equation.

Both of these ordered pairs do not satisfy other equations.