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Convert the equation 2y = 5x - 4 into standard form then y = 2.5x - 2.

Two straight lines are perpendicular if the product of their gradients is -1.

Let the equation of the perpendicular line by y = mx + b. Then, 2.5m = -1 : m = -1/2.5

The y intercept occurs when x = 0. Then -3 = 0 + bc : b = -3

The equation of the perpendicular line is y = -1/2.5x -3 or 5y = -2x -15

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Q: What is the equation that represents the line perpendicular to 2y equals 5x - 4 if the y-intercept is b equals -3?
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