Question 1143131
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(1) Put the given equation 5x-2y-4=0 in slope-intercept form, {{{y=mx+b}}}.  In that form, m is the slope and b is the y-intercept.<br>
(2) You want the equation of a line that has the same y-intercept, and is perpendicular to the given line.  Given a line with a non-zero slope of m, the slope of a line perpendicular to that line is the negative reciprocal, -1/m.<br>
So the slope of the line you want is the negative reciprocal of the slope of the given line, and the y-intercept is the same as for the given line: {{{y = (-1/m)x+b}}}.