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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\n" ); document.write( "(-2,8; 9x = 5y + 2 The equation of the line is y= _____\r
\n" ); document.write( "\n" ); document.write( "Simplfy your answer. Use intergers for any numbers in the expression.
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Algebra.Com's Answer #360991 by Maths68(1474)\"\" \"About 
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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
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