document.write( "Question 546791: how do i find the slope and y-intercept of x-3y=18?
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Algebra.Com's Answer #356124 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can change the equation to the form that starts with \"y=...\" That form is called the slope-intercept form for good reason. Let me show you.
\n" ); document.write( "You start with $\"x-3y=18\"$ and try to solve for $\"y\"$ .
\n" ); document.write( "You could add $\"3y\"$ to both sides, then subtract 18 from both sides, then divide both sides by 3:
\n" ); document.write( " $\"x-3y=18\"$ ---> $\"x=3y%2B18\"$ ---> $\"x-18=3y\"$ ---> $\"%281%2F3%29x-6=y\"$
\n" ); document.write( "Or you could say you'll subtract x from both sides, then divide by $\"%28-3%29\"$ :
\n" ); document.write( " $\"x-3y=18\"$ ---> $\"-3y=18-x\"$ ---> $\"y=%281%2F3%29x-6\"$
\n" ); document.write( "You may even think of another way.
\n" ); document.write( "Of course, the result is the same.
\n" ); document.write( "Unless you made a mistake, you get $\"y=%281%2F3%29x-6\"$ .
\n" ); document.write( "You clearly see the number $\"%281%2F3%29\"$ multiplied by $\"x\"$ , and that is the slope, because as $\"x\"$ increases by 1, $\"y\"$ increases by that number, the slope, $\"%281%2F3%29\"$ .
\n" ); document.write( "You also see that when $\"x=0\"$ , which is at the y-axis, $\"y\"$ takes the value of the number that is added to the $\"%281%2F3%29x\"$ . That is the value of $\"y\"$ when the line crosses the y-axis, the y-intercept, $\"-6\"$ in this case.
\n" ); document.write( "So you see how the slope-intercept form clearly shows you the slope (multiplied times $\"x\"$ ), and the intercept (the rest of the equation). It is very useful, and as wonderful as Tigger, because there is only one slope-intercept form. \n" ); document.write( "

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