text: First we put the equation\n2x+4y=1\ninto slope-intercept form.\n\n4y = -2x + 1\ny = -1/2x + 1/4\nThe slope is -1/2.\n\nThen using point-slope form, we find parallel equation through (-1,5): x1 is -1 and y1 is 5\n(y-y1) = m(x-x1)\ny-5 = -1/2(x--1)\ny-5 = -1/2(x+1)\ny-5 = -1/2x - 1/2\ny-10/2 = -1/2x - 1/2\ny = -1/2x + 9/2\n\nThen using point-slope form, we find perpendicular equation through (-1,5) with slope 2.  To get the perpendicular slope, you take the negative reciprocal.  Again, x1 is -1 and y1 is 5.\n(y-y1) = m(x-x1)\ny-5 = 2(x--1)\ny-5 = 2(x+1)\ny-5 = 2x + 2\ny = 2x + 7