The line passing through the point (0,0) with a slope of 7 would be y=7x.
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If you mean 7 = 7x-3 then the perpendicular slope is -1/7 and the equation is y = -1/7x
y = 0. You can get this from the slope-intercept equation of the line.
y = 3x
When it is a line through the origin.
This is a straight line, runs through the origin and has a slope of 12.