document.write( "Question 512192: Write the slope-intercept equation for the line containing the given pair of points. (−3,4) and (3,1) \n" ); document.write( "

Algebra.Com's Answer #342571 by Maths68(1474) $\"\"$ $\"About$

You can put this solution on YOUR website!
Points (−3,4) and (3,1)
\n" ); document.write( "Use point-slope Equation
\n" ); document.write( "m=(y2-y1)/(x2-x1)
\n" ); document.write( "m=(1-4)/(3-(-3))
\n" ); document.write( "m=(-3)/(3+3)
\n" ); document.write( "m=-3/6
\n" ); document.write( "m=-1/2
\n" ); document.write( "Equation of the line Slope-intercept form
\n" ); document.write( "y=mx+b
\n" ); document.write( "Put the value of any one point and slope we have found in above equation
\n" ); document.write( "m=-1/2, Point (-3,4)
\n" ); document.write( "4=-1/2(-3)+b
\n" ); document.write( "4=3/2+b
\n" ); document.write( "4-3/2=b
\n" ); document.write( "(8-3)/2=b
\n" ); document.write( "5/2=b
\n" ); document.write( "Now
\n" ); document.write( "m=-1/2, Point (3,1)
\n" ); document.write( "1=-1/2(3)+b
\n" ); document.write( "1=-3/2+b
\n" ); document.write( "1=-3/2+b
\n" ); document.write( "1+3/2=b
\n" ); document.write( "(2+3)/2=b
\n" ); document.write( "5/2=b
\n" ); document.write( "So b=5/2
\n" ); document.write( "Now again put the value of b and m in Equation of the Slope-intercept Form
\n" ); document.write( "y=mx+b
\n" ); document.write( "y=(-1/2)x+5/2
\n" ); document.write( "Above equation is our required Equation of the Straight line Slope-inercept form
\n" ); document.write( " \n" ); document.write( "

\n" );