document.write( "Question 922021: Complete the equations of the system in slope-intercept form. Use a decimal for the slope if necessary.\r
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\n" ); document.write( "\n" ); document.write( "Line 1
\n" ); document.write( "x y
\n" ); document.write( "0 3
\n" ); document.write( "1 5
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\n" ); document.write( "Line 2
\n" ); document.write( "x y
\n" ); document.write( "–1 1
\n" ); document.write( "–2 –1
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\n" ); document.write( "\n" ); document.write( "Line 1: y =_____ x +_____ \r
\n" ); document.write( "\n" ); document.write( "Line 2: y = _____ x +_____
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Algebra.Com's Answer #559346 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
slope-intercept form is $\"y=mx%2Bb\"$ where $\"m\"$ is a slope and $\"b\"$ y-intercept\r
\n" ); document.write( "\n" ); document.write( "given:
\n" ); document.write( "Line 1
\n" ); document.write( " $\"x\"$ | $\"y\"$
\n" ); document.write( " $\"0\"$ | $\"3\"$
\n" ); document.write( " $\"1\"$ | $\"5\"$ \r
\n" ); document.write( "\n" ); document.write( "use given points to find $\"m\"$ and $\"b\"$ :\r
\n" ); document.write( "\n" ); document.write( " $\"3=m%2A0%2Bb\"$ ..=> $\"highlight%28b=3%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5=m%2A1%2B3\"$ ...=> $\"5-3=m\"$ => $\"highlight%28m=2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "so, your line is $\"highlight%28y=2x%2B3%29\"$ \r
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\r
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\n" ); document.write( "\n" ); document.write( "Line 2
\n" ); document.write( " $\"x\"$ | $\"y\"$
\n" ); document.write( " $\"-1\"$ | $\"1\"$
\n" ); document.write( " $\"-2\"$ | $\"-1\"$
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\n" ); document.write( " $\"1=m%2A%28-1%29%2Bb\"$ ..=> $\"1=-m%2Bb\"$ ...eq.1 \r
\n" ); document.write( "\n" ); document.write( " $\"-1=m%2A%28-2%29%2Bb\"$ ...=> $\"-1=-2m%2Bb\"$ ...eq.2\r
\n" ); document.write( "\n" ); document.write( "solve the system: \r
\n" ); document.write( "\n" ); document.write( " $\"1=-m%2Bb\"$ ...eq.1
\n" ); document.write( " $\"-1=-2m%2Bb\"$ ...eq.2
\n" ); document.write( "__________________________subtract eq.2 from eq.1\r
\n" ); document.write( "\n" ); document.write( " $\"1-%28-1%29=-m%2Bb-%28-2m%2Bb%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"1%2B1=-m%2Bcross%28b%29%2B2m-cross%28b%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2=-m%2B2m\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%282=m%29\"$ \r
\n" ); document.write( "\n" ); document.write( "go to $\"-1=-2m%2Bb\"$ plug in $\"m=2\"$ and find $\"b\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-1=-2%2A2%2Bb\"$
\n" ); document.write( " $\"-1=-4%2Bb\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-1%2B4=b\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%283=b%29\"$ \r
\n" ); document.write( "\n" ); document.write( "so, your line is $\"highlight%28y=2x%2B3%29\"$ , same as line 1\r
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\r
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\n" ); document.write( "\n" ); document.write( "all four given points lie one one line:\r
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