document.write( "Question 611894: Find the equation of the straight line through the point (-1,-7) and parallel to y= 2x + 3 \n" ); document.write( "
Algebra.Com's Answer #385182 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( "Equation of the Given line \n" ); document.write( "y=2x+3 \n" ); document.write( "Compare with the equation of line slope-intercept form \n" ); document.write( "Slope of the given = m = 2 \n" ); document.write( "Since lines are parallel their slope will be same \n" ); document.write( "Slope of the required line = m = 2 \n" ); document.write( "Point (-1, -7) \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( "2=(y-(-7))/(x-(-1)) \n" ); document.write( "2=(y+7))/(x+1)) \n" ); document.write( "2(x+1)=y+7 \n" ); document.write( "2x+2=y+7 \n" ); document.write( "2x+2-7=y \n" ); document.write( "2x-5=y \n" ); document.write( "y=2x-5 \n" ); document.write( "Above equation is the equation of the required line\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Graph \n" ); document.write( "----- \n" ); document.write( "y=2x+3 Given line (Red) \n" ); document.write( "y=2x-5 Required line (Green)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |