What is the perpendicular of -7x?

I suppose that you mean the line y = -7x The slope of that line is -7 The slope of the perpendicular will then be +1/7 and the equation will look like y = (1/7)x + something The something is the value of y, when the line crosses the y-axis (when x=0) it is called the "intercept" The value of "something" will depend on where you want the perpendicular to cross. If you want it to cross at the origin (0, 0) then the equation of the perpendicular will simply be y = x/7.

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