What can you tell about the ratio of coefficients of the lines a 1 x - b 1 y - c 1-0 and a 2 x - b 2 y - c 2-0 from the graph -A- a 1 - a 2- b 1 - b 2- c 1 - c 2B- a 1 - a 2- b 1 - b 2- c 1 - c 2C- a 1 - a 2- b 1 - b 2- c 1 - c 2D- a 1 - a 2- b 1 - b 2

What can you ...

Question

What can you tell about the ratio of coefficients of the lines $a_{1}$ x + $b_{1}$ y + $c_{1}$ = 0 and $a_{2}$ x + $b_{2}$ y + $c_{2}$ = 0 from the graph ?

a₁/a₂ ≠ b₁/b₂ = c₁/c₂

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a₁/a₂ = b₁/b₂ = c₁/c₂

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a₁/a₂ = b₁/b₂ ≠ c₁/c₂

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a₁/a₂ ≠ b₁/b₂

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Solution

The correct option is C
a₁/a₂ = b₁/b₂ ≠ c₁/c₂

The graph depicts 2 parallel lines. Therefore, the system of equations is inconsistent.

$\frac{a_{1}}{a_{2}}$ = $\frac{b_{1}}{b_{2}}$ ≠ $\frac{c_{1}}{c_{2}}$

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a₁/a₂ = b₁/b₂ ≠ c₁/c₂

The graph depicts 2 parallel lines. Therefore, the system of equations is inconsistent.

$\frac{a_{1}}{a_{2}}$ = $\frac{b_{1}}{b_{2}}$ ≠ $\frac{c_{1}}{c_{2}}$