The equivalent equation to 3x - 4y = 6, in slope-intercept form, is: C. y = 3/4x - 3/2.
The slope-intercept form of a linear equation can be written as, y = mx + b.
Given the equation, 3x - 4y = 6, we can rewrite it in the slope-intercept form to determine which of the given equations is equivalent to it.
3x - 4y = 6
-4y = -3x + 6
Divide both sides by -4
-4y/-4 = -3x/-4 + 6/-4
y = 3/4x - 3/2
Therefore, the equivalent equation to 3x - 4y = 6, in slope-intercept form, is: C. y = 3/4x - 3/2.
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