Question

This is the equation:( Y 2x + 4 )Now I already have two answers for this equation, I'm just not sure which one I should go with.So I was hoping you would help me a little of which one I should go with.Answer A: (0,0) Or Answer B: (-2,2)

Answer 1

we have the inequality

$\begin{gathered} y\leq2x+4 \\ \end{gathered}$

the solution of this inequality is the shaded area below the solid line y=2x+4

Remember that

If a ordered pair is a solution of the inequality, then the ordered pair must satisfy the inequality

so

Verify point A(0,0)

For x=0 and y=0

substitute in the inequality

$\begin{gathered} 0\leq2\cdot(0)+4 \\ 0\leq4\text{ --}\longrightarrow\text{ is ok} \end{gathered}$

Point A is a solution

Verify point B

(-2,2)

For x=-2 and y=2

substitute

$\begin{gathered} 2\leq2\cdot(-2)+4 \\ 2\leq0\text{ --}\longrightarrow\text{ is not true} \end{gathered}$

therefore

the answer is the point A