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Write the equation of the line that is parallel to the line 4x − 3y = −12 and passes through the point (−3, 4). A. y= 4/3x + 8 B. y= 4/3x + 3 C. y= -4/3x+ 8 D. y= -4/3x +3
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The slope of the line 4x - 3y = -12 is 4/3. Parallel lines have the same slope. Because you know the slope and a point on the line, you can plug this information into point-slope form. Point-slope form: y - k = m (x - h) m= slope line passes through point (h,k) In this case, your slope is 4/3, and the line passes through point (-3,4). Plug it in y - 4 = 4/3 (x - (-3)) y - 4 = 4/3 (x + 3) y - 4 = 4/3x + 4 A. y = 4/3x + 8
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