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A line passes through (x(1), y(1)) " and...

A line passes through `(x_(1), y_(1)) " and " (h, k)` . If slope of the line is m, show that ` k - y_(1) = m (h - x_(1))`.

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A : The equation of the line passing through (1, 2) with slope 2//5 is 2x-5y+8=0 R : The equation of the line passing through (x_(1), y_(1)) with slope m is y-y_(1)=m(x-x_(1))

A : Equation of the line passing through (-2, 3) and parallel to 3x-4y+7=0 is 3x-4y+18=0 . R : Equation of the line passing through (x_(1), y_(1)) and parallel to ax+by+c=0 is a(x-x_(1))+b(y-y_(1))=0

A : Equation of the line passing through (3, -4) and perpendicular to 2x+3y+7=0 is 3x-2y-17=0 . R : Equation of the line passing through (x_(1), y_(1)) and perpendicular to ax+by+c=0 is b(x-x_(1))-a(y-y_(1))=0