document.write( "Question 84820: I have a question that states: Determine the slope-intercept form of the equation of the line. The points on the graph are (0,2), (-6,-7). The answer is -3/2 isn't it? \n" ); document.write( "

Algebra.Com's Answer #61106 by funmath(2933) $\"\"$ $\"About$

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Determine the slope-intercept form of the equation of the line. The points on the graph are (0,2), (-6,-7).
\n" ); document.write( "There is a couple of ways to do this. I'll show you one.
\n" ); document.write( "The slope-intercept form of the equation of a line is: $\"highlight%28y=mx%2Bb%29\"$ , where m=slope and (0,b) is the y-intercept.
\n" ); document.write( "You have (0,b)=(0,2), but you don't have the slope, m.
\n" ); document.write( "You can find the slope using the slope formula: $\"highlight%28m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29%29\"$ , where (x1,y1) and (x2,y2) are the given points.
\n" ); document.write( "(x1,y1)=(0,2) and (x2,y2)=(-6,-7)
\n" ); document.write( " $\"m=%28-7-2%29%2F%28-6-0%29\"$
\n" ); document.write( " $\"m=-9%2F%28-6%29\"$
\n" ); document.write( " $\"m=3%2F2\"$
\n" ); document.write( "Now substitute m=3/2 and (0,b)=(0,2) into y=mx+b
\n" ); document.write( " $\"highlight%28y=%283%2F2%29x%2B2%29\"$
\n" ); document.write( "Happy Calculating!!!! \n" ); document.write( "

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