document.write( "Question 225302: write an equation for the linear function f, where f(3)= -2 and f(-5)=14 \n" ); document.write( "

Algebra.Com's Answer #168150 by LtAurora(115) $\"\"$ $\"About$

You can put this solution on YOUR website!
What they've given you here is 2 points:
\n" ); document.write( "(-2,3) and (14,-5).
\n" ); document.write( "To find the equation, we have to solve for the slope first:
\n" ); document.write( " $\"m=%28y_1-y_2%29%2F%28x_1-x_2%29\"$
\n" ); document.write( "Plug in the given points:
\n" ); document.write( " $\"m=%283-%28-5%29%29%2F%28-2-14%29\"$
\n" ); document.write( "Simplify:
\n" ); document.write( " $\"m=8%2F-16\"$
\n" ); document.write( " $\"m=-1%2F2\"$
\n" ); document.write( "Then we can use the following equation:
\n" ); document.write( " $\"%28y-y_1%29=m%28x-x_1%29\"$
\n" ); document.write( " $\"%28y-3%29=-%281%2F2%29%28x-%28-2%29%29\"$
\n" ); document.write( "Simplify the right hand side:
\n" ); document.write( " $\"%28y-3%29=-%281%2F2%29x-1\"$
\n" ); document.write( "Move the -3 over by adding it to both sides:
\n" ); document.write( " $\"y=-%281%2F2%29x%2B2\"$ , which is our linear function.
\n" ); document.write( "Or, can be written as: $\"f%28x%29=-%281%2F2%29x%2B2\"$ \n" ); document.write( "

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