cheyennem27 cheyennem27

26-09-2016
Mathematics

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What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1, 5)?

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nobillionaireNobley nobillionaireNobley

26-09-2016

Equation of a line is given by y - y1 = m(x - x1); where m = (y2 - y1)/(x2 - x1)

y - (-1) = ((5 - (-1))/(-1 - 3))(x - 3)
y + 1 = ((5 + 1)/-4)(x - 3)
y + 1 = (6/-4)(x - 3) = -3/2 (x - 3) = -3/2 x + 9/2
y = -3/2 x + 9/2 - 1
y = -3/2 x + 7/2

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