document.write( "Question 161998: write an equation of the line containing the given point and parellel to the given line. express you answer in the form y=mx+b. \n" );
document.write( "(-4,2); 6x=5y+7\r \n" );
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document.write( "1. The first concept you should know is that if two lines are parallel to each other then they have the same slope \n" );
document.write( "2. To be able to write the equation of a line you need either a) two points on the line; or b)a point and a slope \n" );
document.write( "3. Your case is b) a point (-4/2) and a slope (which you should be able to obtain after you simplify 6x=5y+7 into y=mx+b form--m will be the slope)\r \n" );
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document.write( "So: \n" );
document.write( "6x = 5y+7 \n" );
document.write( "6x-7=5y \n" );
document.write( "(6x-7)/5=5y/5 \n" );
document.write( "(6x-7)/5=y \n" );
document.write( "6x/5-7/5=y \n" );
document.write( "or \n" );
document.write( "(6/5)x-7/5=y (m=6/5 and b=-7/5 for this line)\r \n" );
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document.write( "so the slope for our line must be 6/5 and the point is (-4,2) lets put this into our point-slope formula: \n" );
document.write( "y-y_1=m(x-x_1) \n" );
document.write( "y-2=6/5(x--4) \n" );
document.write( "y-2=6/5(x+4) (a negative time a negative equals a positive) \n" );
document.write( "y-2=6/5x+24/5 used distributive property \n" );
document.write( "y-2+2=6/5x+24/5+2 \n" );
document.write( "y=6/5x+24/5+10/5 \n" );
document.write( "y=6/5x+34/5 \n" );
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