document.write( "Question 1198735: Find the equation of the line perpedicular to x-4y=3 and passes through the point (2,10) \n" ); document.write( "
Algebra.Com's Answer #832626 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "For an elementary solution, do what two of the other tutors do:
\n" ); document.write( "Put the given equation in slope-intercept form to find the slope;
\n" ); document.write( "Find the slope of the perpendicular line, which is the negative reciprocal of the slope of the given line; and
\n" ); document.write( "Use that slope and the given point with either the slope-intercept or standard form of a linear equation to find the equation.

\n" ); document.write( "Students with knowledge of only basic algebra should know that solution method.

\n" ); document.write( "For an easier solution, for students with a more extensive knowledge of math, do what tutor @MathTherapy does.

\n" ); document.write( "Given a linear equation in standard form Ax+By=C, the equation of a line perpendicular to the given line is of the form Bx-Ay=D (switch the coefficients and change the sign of one of them).

\n" ); document.write( "Then just plug in the coordinates of the given point to find the answer.

\n" ); document.write( "x-4y = 3 --> 4x+y = D
\n" ); document.write( "4(2)+10 = 18
\n" ); document.write( "ANSWER: 4x+y=18

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