document.write( "Question 84893: Write the equation of a line that passes through the points (3,4) and (-5,-6). In standard form. Thanks:) \n" ); document.write( "

Algebra.Com's Answer #61164 by Mona27(45) $\"\"$ $\"About$

You can put this solution on YOUR website!
First you need to find the slope of this line = $\"y_difference%2Fx_difference\"$
\n" ); document.write( " $\"%284-%28-6%29%29%2F%283-%28-5%29%29=10%2F8=5%2F4\"$
\n" ); document.write( "Then the general form of the equation is: y=mx+b
\n" ); document.write( "Plug in the gradient and any of the two given points in the equation like this:
\n" ); document.write( " $\"4=3%2A%285%2F4%29%2Bb\"$
\n" ); document.write( "This gives b=1/4
\n" ); document.write( "And so the equation becomes $\"y=%285%2F4%29x%2B1%2F4\"$
\n" ); document.write( "OR
\n" ); document.write( " $\"4y=5x%2B1\"$ \n" ); document.write( "

\n" );