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Write the equation y equals one third

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X minus four in standard form.

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The given equation is in slope intercept form.

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Remember that was Y equals MX plus B.

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Standard form is ax plus by equals C.

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Step one: get rid of the fractions in the equation.

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Multiply every term by three.

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Three Y equals three times the quantity

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of one third x minus four.

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Step two: distribute and simplify

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three Y equals X minus twelve.

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Step three: bring the x term to

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the same side as the y term.

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Subtract x from both sides.

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Three Y minus X equals X minus X minus twelve.

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Step four: simplify three y

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minus X equals negative twelve.

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Notice the y term is first.

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Step five: write the equation so the x term is first.

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Negative x plus three y equals negative twelve.

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The problem is now that the

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x is negative. In standard form

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do not lead with a negative number.

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Step six: multiply each term by negative one so

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as not to lead with a negative. Negative one

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times the quantity of negative x plus three y

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equals negative twelve becomes x minus three

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Y equals twelve.