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A perpendicular line has the negative reciprocal of the slope. The perpendicular line has a slope of 1/2 y=1/2 + 3 The 3 or y-intercept can really be any number though.
If a line has equation y = mx + c, the perpendicular line has gradient -1/m A line perpendicular to 3x + y = 2 has equation 3y = x + c; the value for c will be determined by a point through which the line must pass.
3x+y = 4 y = -3x+4 Perpendicular slope: 1/3
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When two lines are perpendicular, their slopes are negative reciprocals. In the example, the perpendicular to y= (1/21) x would be y = -21 x For y = 2x, the perpendicular would be y= -½ x You invert the fraction and change the sign.