Question

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Answer 1

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`\displaystyle (2)/(3)`

Explanation:

In the Slope-Intercept Formula [y = mx + b], b represents the y-intercept and the rate of change [slope] is represented by m so to convert from a Standard Equation to a Slope-Intercept Equation, you simply do this:

4x - 6y = 12

- 4x - 4x

__________

`\displaystyle (-6y)/(-6) = (-4x + 12)/(-6) \\ \\ y = (2)/(3)x - 2`

Therefore, ⅔ is the slope.

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Answer 2

Change the form to slope-intercept form (basically solving for y)

4x - 6y = 12

-6y = -4x + 12

y = 4/6x -2

y = 2/3x - 2

The slope is what is attached to the x variable, which is 2/3