document.write( "Question 167430: y-8=3/4(x-2) \n" ); document.write( "

Algebra.Com's Answer #123342 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"y-8=%283%2F4%29%28x-2%29\"$ ---> This follows a Line equation in the format Slope-
\n" ); document.write( "Intercept form: $\"y=mx%2Bb\"$
\n" ); document.write( "We'll see,
\n" ); document.write( " $\"y-8=%283%2F4%29%28x-2%29\"$ , distribute
\n" ); document.write( " $\"y-8=%283%2F4%29x-%286%2F4%29\"$ ---> $\"6%2F4\"$ --> reduced ---> $\"3%2F2\"$
\n" ); document.write( " $\"y=%283%2F4%29x-%283%2F2%29-8\"$
\n" ); document.write( " $\"y=%283%2F4%29x-%283-16%29%2F2\"$
\n" ); document.write( " $\"y=%283%2F4%29x-%2813%2F2%29\"$ ---> $\"slope=3%2F4\"$ and y-intercept @ $\"-13%2F2\"$
\n" ); document.write( "We'll check the points where the line passes the x & y coordinates:
\n" ); document.write( "f(x)=0:
\n" ); document.write( " $\"y=-13%2F2\"$
\n" ); document.write( "f(y)=0:
\n" ); document.write( " $\"%283%2F4%29x=13%2F2\"$ ---> $\"cross%283%2F4%29x%2Fcross%283%2F4%29=%2813%2F2%29%2F%283%2F4%29\"$
\n" ); document.write( " $\"x=%2813%2F2%29%284%2F3%29=52%2F6\"$
\n" ); document.write( "we'll see the graph
\n" ); document.write( "

---> Line passes thru points $\"52%2F6\"$ @ x-axis and $\"-13%2F2\"$ @ y axis.
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

\n" );