I believe it is an error to refer to an intercept as a single number. An intercept is properly defined as a point, which, in is defined by an ordered pair. The proper way to refer to the -intercept in your problem is
The slope of the given line, the equation of which is presented in slope-intercept form, is simply the coefficient on . The slope of any perpendicular to any line where the slope is neither zero nor undefined is the negative reciprocal of the slope of the first line, thus:
Now that you have the slope of the desired line and one point on that line, use the point-slope form to derive an equation that represents the desired line.
where are the coordinates of the given point and is the calculated slope.
John
My calculator said it, I believe it, that settles it