document.write( "Question 774090: Find the formula for the linear function that passes through the point P = ( -4, -1 ) and is perpendicular to the linear function g(x) which has the properties:
\n" ); document.write( "g(2) = 9
\n" ); document.write( "g(-1) = -1 \n" ); document.write( "

Algebra.Com's Answer #472137 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Find the formula for the linear function that passes through the point P = ( -4, -1 ) and is perpendicular to the linear function g(x) which has the properties:
\n" ); document.write( "g(2) = 9
\n" ); document.write( "g(-1) = -1
\n" ); document.write( "find the slope (m1) using the given coordinates
\n" ); document.write( "x1=2; y1=9
\n" ); document.write( "x2=-1; y2 = -1
\n" ); document.write( "m1 = $\"%28-1-9%29%2F%28-1-2%29\"$ = $\"%28-10%29%2F%28-3%29\"$ = + $\"10%2F3\"$
\n" ); document.write( "slope of a perpendicular line: m1*m2=-1
\n" ); document.write( " $\"10%2F3\"$ *m2 = -1
\n" ); document.write( "m2 = $\"-3%2F10\"$ is the slope of the line passing through -4, -1
\n" ); document.write( "we can use decimal of -.3
\n" ); document.write( "using mx-b = y, we know x=-4; and y=-1, find b
\n" ); document.write( " $\"-.3\"$ (-4) + b = -1
\n" ); document.write( "+1.2 + b = -1
\n" ); document.write( "b = -1 + 1.2
\n" ); document.write( "b = .2
\n" ); document.write( ";
\n" ); document.write( "the equation: f(x) = -.3x + .2 \n" ); document.write( "

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