Question 1197785
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For solving using elementary methods, you can use the method shown by the other tutor: determine the slope of the graph of the given equation, find the slope of a line perpendicular to the given line, and use that slope and the given point to find the equation.<br>
You can solve the problem with much less work using this fact:
Given a line with equation in the form Ax+By=C, the equation of any line PARALLEL to the given line is also of the form Ax+By=D, and the equation of any line PERPENDICULAR to the given line has an equation of the form Bx-Ay=E.<br>
So any line perpendicular to the given line 2x+5y=4 has an equation of the form 5x-2y=C.<br>
To find the one that passes through (3,5), substitute those values in the equation to determine the constant C:<br>
5(3)-2(5) = 15-10 = 5<br>
ANSWER: 5x-2y = 5<br>