If the linear equation in standard form is 2x - 3y = 12, what is its slope?

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Multiple Choice

If the linear equation in standard form is 2x - 3y = 12, what is its slope?

Explanation:
To find the slope from standard form, rewrite the equation as y = mx + b. Solve 2x − 3y = 12 for y: −3y = −2x + 12, so y = (2/3)x − 4. The slope is the coefficient of x in this form, which is 2/3. That means as x increases by 3, y increases by 2, giving a positive slope of 2/3.

To find the slope from standard form, rewrite the equation as y = mx + b. Solve 2x − 3y = 12 for y: −3y = −2x + 12, so y = (2/3)x − 4. The slope is the coefficient of x in this form, which is 2/3. That means as x increases by 3, y increases by 2, giving a positive slope of 2/3.

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