SOLUTION: The graph of f is perpendicular to the line whose equation is 5 x minus 2 y minus 4 equals 05x−2y−4=0 and has the same​ y-intercept as this line. i am not sure how to do

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Question 1143131: The graph of f is perpendicular to the line whose equation is 5 x minus 2 y minus 4 equals 05x−2y−4=0 and has the same​ y-intercept as this line.
i am not sure how to do this at all, normally I am given the x1, y1 and the perpedicular equation to figure out the slope, im not sure how to do this one at all

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


(1) Put the given equation 5x-2y-4=0 in slope-intercept form, . In that form, m is the slope and b is the y-intercept.

(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.

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: .

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