document.write( "Question 553652: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y = mx+b.
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document.write( "(-2,8; 9x = 5y + 2 The equation of the line is y= _____\r
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document.write( "Simplfy your answer. Use intergers for any numbers in the expression. \n" );
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Algebra.Com's Answer #360991 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Equation of the line slope-intercept form \n" ); document.write( "y=mx+b \n" ); document.write( "Given \n" ); document.write( "Equation of the Given line \n" ); document.write( "9x=5y+2 \n" ); document.write( "Rearrange above equation according to slope-intercept form \n" ); document.write( "5y=9x-2 \n" ); document.write( "5y/5=(9x-2)/5 \n" ); document.write( "y=9/5(x)-2/5 \n" ); document.write( "Compare with the equation of line slope-intercept form \n" ); document.write( "Slope of the given = m = 9/5 \n" ); document.write( "Since lines are parallel their slope will be same \n" ); document.write( "Slope of the required line = m = 9/5 \n" ); document.write( "Point (-2, 8) \n" ); document.write( "We have a point and slope we can get easily the require line equation. \n" ); document.write( "Use Equation of the line point-slope form \n" ); document.write( "m = y2-y1/x2-x1 \n" ); document.write( "Put the values in above equation, we have \n" ); document.write( "9/5=(y-8)/(x-(-2)) \n" ); document.write( "9/5=(y-8)/(x+2) \n" ); document.write( "9(x+2)=(y-8)5 \n" ); document.write( "9x+18=5y-40 \n" ); document.write( "9x+18+40=5y \n" ); document.write( "9x+58=5y \n" ); document.write( "(9x+58)/5=5y/5 \n" ); document.write( "9/5(x)+58/5=y \n" ); document.write( "y=9/5(x)+58/5 \n" ); document.write( "Above equation is the equation of the required line in the form of y=mx+b \n" ); document.write( " \n" ); document.write( " |