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In order to find the slope, write the equation of the line 2y = 8x - 3 in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. So,

2y = 8x - 3 divide by 2 to both sides,

y = 4 x - 3/2

Thus, the coefficient of the x-variable, 4, is the slope of the line 2y = 8x - 3.

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