Technically, equations are never perpendicular to one another. However, the equations of lines can result in their lines being perpendicular. Using y=mx+b, to have a perpendicular line, you have the negative reciprocal of m.
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Depending on the value of the slope or gradient if its the same then they are parallel if its a reciprocal then they are perpendicular.
If the slope of the equations are the same then they are parallel If the slope of the equations are minus reciprocal then they are perpendicular If the slope of the equations are different then they are neither
If you mean the perpendicular distance then it is worked out as follows:- Equation: y = 2x+10 Perpendicular slope: -1/2 Perpendicular equation: y-4 = -1/2(x-2) => 2y = -x+10 The two equations intersect at: (-2,6) Perpendicular distance is the square root of: (-2-2)2+(6-4)2 = 4.472 to 3 d.p.
Any one of them that has a slope of 9/2 or 4.5
When they meet at right angles when plotted on the coordinated grid.