You can put this solution on YOUR website! Get the equation into slope-intercept form.
4x -2y = 3
-2y = -4x +3
y = 2x + 3/2
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A perpendicular line will have the slope -1/2.
y = -1/2x + b
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The challenging part is you want this line to go through the point (0,-1).
That means "when x = 0, y = -1"
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Substitute what you know.
-1 = -1/2(0) + b
-1 = b
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So the equation is:
y = -1/2x -1
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Graph to check your answer.