document.write( "Question 27179: 13. Write the equation of the line which has y-intercept (0, 5) and is perpendicular to the line with equation y = –3x + 1. Write the equation in slope-intercept form. \n" ); document.write( "

Algebra.Com's Answer #14780 by rodriguezh2(15) $\"\"$ $\"About$

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You must use the equation (y - y1)= m(x -x1)to solve this problem.
\n" ); document.write( "We know that the line we are looking for is perpendicular to the line
\n" ); document.write( " y = -3x + 1.
\n" ); document.write( "Perpendicular lines have negative reciprocal slopes so our
\n" ); document.write( "slope(m) must equal 1/3.
\n" ); document.write( " We also know that point (0, 5) is the y intercept.
\n" ); document.write( " Now we plug into the equation:
\n" ); document.write( " (y - 5) = (1/3)(x - 0)
\n" ); document.write( " (y - 5) = (1/3)x + 0
\n" ); document.write( " y = (1/3)x + 5 is the equation of the line\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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