document.write( "Question 285990: determine the equation of the line described. put answer in the slope-intercept form if possible.
\n" ); document.write( "through (-2,5), perpendicular to -4x + 5y = 17 \n" ); document.write( "

Algebra.Com's Answer #207390 by oberobic(2304) $\"\"$ $\"About$

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-4x + 5y = 17
\n" ); document.write( "5y = 4x + 17
\n" ); document.write( "y = (4/5)x + 17/5
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\n" ); document.write( "therefore, the slope of this line is 4/5.
\n" ); document.write( "which means the slope of a perpendicular line is -5/4.
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\n" ); document.write( "We want this line with slope = -5/4 to go through the point (-2,5).
\n" ); document.write( "y = mx+b
\n" ); document.write( "5 = (-5/4)(-2) + b
\n" ); document.write( "5 = 10/4 + b
\n" ); document.write( "5 - 10/4 = b
\n" ); document.write( "5 - 2.5 = b
\n" ); document.write( "b = 2.5
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\n" ); document.write( "y = -5/4x + 2.5
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\n" ); document.write( "You can check with a graph. The red line is y = (4/5)x + 17/5. The green line is
\n" ); document.write( "y = -5/4x + 2.5
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