smc-4422-50-General form

v2 Functions, 2ADV F1 2017 HSC 1 MC

What is the gradient of the line \(6x+7y-1 = 0\)?

\(-\dfrac{6}{7}\)
\(\dfrac{6}{7}\)
\(-\dfrac{7}{6}\)
\(\dfrac{7}{6}\)

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\(A\)

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\(6x+7y-1\)	\(=0\)
\(7y\)	\(=-6x+1\)
\(y\)	\(=-\dfrac{6}{7}x+\dfrac{1}{7}\)

\(\Rightarrow A\)

v1 Functions, 2ADV F1 2017 HSC 1 MC

What is the gradient of the line \(4x-5y-2 = 0\)?

\(-\dfrac{4}{5}\)
\(\dfrac{4}{5}\)
\(\dfrac{5}{4}\)
\(-\dfrac{5}{4}\)

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\(B\)

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\(4x-5y-2\)	\(=0\)
\(-5y\)	\(=-4x + 2\)
\(y\)	\(=\dfrac{4}{5}x-\dfrac{2}{5}\)

\(\Rightarrow B\)

Functions, 2ADV F1 2017 HSC 1 MC

What is the gradient of the line `2x + 3y + 4 = 0`?

`-2/3`
`2/3`
`-3/2`
`3/2`

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`A`

Show Worked Solution

`2x + 3y + 4`	`= 0`
`3y`	`= -2x-4`
`y`	`= -2/3 x-4/3`
`:.\ text(Gradient)`	`= -2/3`

`=> A`