document.write( "Question 83117: Determine the linear function whose graph is a line that is perpendicular to the line g(x)=7x+3 and contains the point (5,5). \n" ); document.write( "

Algebra.Com's Answer #59786 by Mona27(45) $\"\"$ $\"About$

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To find the equation of any linear graph you need 2 main things:
\n" ); document.write( "1. the gradient (slope) of the line.
\n" ); document.write( "2. any point on the line.
\n" ); document.write( "The general equation of any straight line is:
\n" ); document.write( "y=mx+b
\n" ); document.write( "where m is the gradient, and b is the y-intercept (the point at which the line crosses the y-axis).
\n" ); document.write( "To make the line perpendicular to g(x), the product of their gradients must be -1.
\n" ); document.write( "This means that the gradient of the line we are looking for is $\"-1%2F7\"$ .
\n" ); document.write( "Next we can put in the point we have been given:
\n" ); document.write( "x=5, y=5
\n" ); document.write( "y=mx+b
\n" ); document.write( " $\"5=%28-1%2F7%29%285%29%2Bb\"$
\n" ); document.write( " $\"b=40%2F7\"$
\n" ); document.write( " $\"y=%28-1%2F7%29+x%2B40%2F7\"$ \n" ); document.write( "

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