document.write( "Question 220247: Find the equation of the line passing through (-1,-2) and parallel to 6x+2y=5 \n" ); document.write( "
Algebra.Com's Answer #165426 by likaaka(51)![]() ![]() ![]() You can put this solution on YOUR website! The slopes of parallel lines are the same so first you must find the slope of the line 6x+2y=5. I would change that equation to slope-intercept form or y=mx+b where m is your slope and b is your x-intercept\r \n" ); document.write( "\n" ); document.write( "6x+2y=5, subtract 6x from both sides \n" ); document.write( "6x+2y - 6x=5 -6x \n" ); document.write( "2y=-6x+5, divide both side by 2 \n" ); document.write( "(2y)/2=(-6x+5)2 \n" ); document.write( "y=((-6x)/2)+(5/2) \n" ); document.write( "y=-3x+(5/2) \n" ); document.write( "According to slope-intercept form, you now know that the slope is -3 \n" ); document.write( "Given the slope and a point (-1,-2), you can use point-slope form to get the equation of the line \n" ); document.write( "Point-slope form is (y-ysub1)=m(x-xsub1) where ysub1 and xsub1 is the given point and m is the slope \n" ); document.write( "(y-(-2))=-3(x-(-1)) \n" ); document.write( "y+2=-3(x+1), I'm not sure in what form you must give your solution but if it is accepted in point slope form then that's it but I would get rid of the parenthesis on the right side of the equation by distributing the -3 \n" ); document.write( "y+2=-3x-3, If you must answer in slope-intercept form then solve for y \n" ); document.write( "y+2 -2=-3x-3 -2 \n" ); document.write( "y=-3x-5 \n" ); document.write( " |