Algebra.Com's Answer #77166 by MathLover1(20849)  You can put this solution on YOUR website! 1. \r \n" );
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document.write( " Solved by pluggable solver: Graphing Linear Equations | \n" );
document.write( "In order to graph we only need to plug in two points to draw the line \n" );
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document.write( " So lets plug in some points | \n" );
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document.write( "2. \r \n" );
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document.write( " Solved by pluggable solver: Graphing Linear Equations | \n" );
document.write( "In order to graph we only need to plug in two points to draw the line \n" );
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document.write( " So lets plug in some points \n" );
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document.write( " Plug in x=-3 \n" );
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document.write( " Multiply \n" );
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document.write( " Add \n" );
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document.write( " So here's one point (-3,-9) \n" );
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document.write( " Now lets find another point \n" );
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document.write( " Plug in x=-2 \n" );
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document.write( " Multiply \n" );
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document.write( " Add \n" );
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document.write( " So here's another point (-2,-7). Add this to our graph \n" );
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document.write( " Now draw a line through these points \n" );
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document.write( " So this is the graph of through the points (-3,-9) and (-2,-7) \n" );
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document.write( " So from the graph we can see that the slope is (which tells us that in order to go from point to point we have to start at one point and go up 2 units and to the right 1 units to get to the next point) the y-intercept is (0, )and the x-intercept is ( ,0) ,or ( ,0) \n" );
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document.write( " We could graph this equation another way. Since this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0, ). \n" );
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document.write( " So we have one point (0, ) \n" );
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document.write( " Now since the slope is , this means that in order to go from point to point we can use the slope to do so. So starting at (0, ), we can go up 2 units \n" );
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document.write( " and to the right 1 units to get to our next point \n" );
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document.write( " Now draw a line through those points to graph  \n" );
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document.write( " So this is the graph of through the points (0,-3) and (1,-1) \n" );
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document.write( "3.  \n" );
document.write( "Since, for some reason, the same way as previous two equations were solved doesn’t work for this one, we can find a solution for \n" );
document.write( " by finding a line by slope and one point.\r \n" );
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document.write( "let point be ( , ) since and \n" );
document.write( "slope \r \n" );
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document.write( " Solved by pluggable solver: FIND a line by slope and one point | \n" );
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document.write( " What we know about the line whose equation we are trying to find out: \n" );
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document.write( " - it goes through point (0, 0)
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document.write( " - it has a slope of -0.75
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document.write( " First, let's draw a diagram of the coordinate system with point (0, 0) plotted with a little blue dot: \n" );
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document.write( " Write this down: the formula for the equation, given point and intercept a, is \n" );
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document.write( " (see a paragraph below explaining why this formula is correct) \n" );
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document.write( " Given that a=-0.75, and , we have the equation of the line: \n" );
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document.write( " Explanation: Why did we use formula ? Explanation goes here. We are trying to find equation y=ax+b. The value of slope (a) is already given to us. We need to find b. If a point ( , ) lies on the line, it means that it satisfies the equation of the line. So, our equation holds for ( , ): Here, we know a, , and , and do not know b. It is easy to find out: . So, then, the equation of the line is: . \n" );
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document.write( " Here's the graph: \n" );
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