Equation of line passing through the point 5,7 and slope is equal to slope of the line joining through the points 3,7 and 5,3is ax+by+c=0 then a+b=

Slope of the line joining the points (3,7) and (5,3) is m=3−75−3=−2 Equation of the line having the slope m and passing through the point x1,y1 is y−y1=mx−x1 Hence the equation of the line having slope m=−2 and passing through the point (5,7) is y−7=−2x−5y−7=−2x+102x+y−17=0 Compare the above equation with ax+by+c=0a=2,b=1 Therefore, a+b=3