document.write( "Question 894223: Find the equation that has intercepts (0, -3) and (-2, 0) \n" ); document.write( "

Algebra.Com's Answer #541858 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
You have the x- and y- intercepts.
\n" ); document.write( "That should be enough to get the equation because two points determine a line.
\n" ); document.write( "The point (0,-3) tells you that when $\"x=0\"$ , $\"y=-3\"$ , and then $\"y%2F%28-3%29=1\"$ .
\n" ); document.write( "The point (-2,0) tells you that when $\"y=0\"$ , $\"x=-2\"$ , and then $\"x%2F%28-2%29=1\"$ .
\n" ); document.write( "The equation $\"x%2F%28-2%29%2By%2F%28-3%29=1\"$ covers both of the cases above.
\n" ); document.write( "That is the intercepts form of the equation for the line.
\n" ); document.write( "Let's make it a little prettier by multiplying both sides of the equal sign times $\"%28-6%29\"$ :
\n" ); document.write( " $\"%28-6%29x%2F%28-2%29%2B%28-6%29y%2F%28-3%29=-6\"$
\n" ); document.write( " $\"highlight%283x%2B2y=-6%29\"$ looks pretty enough to me.
\n" ); document.write( "If you want the slope-intercept form, you can solve for $\"y\"$ :
\n" ); document.write( " $\"2y=-3x-6\"$
\n" ); document.write( " $\"y=%28-3%2F2%29x-6%2F2\"$
\n" ); document.write( " $\"highlight%28y=%28-3%2F2%29x-3%29\"$ \n" ); document.write( "

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