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 $$a+b=$$

Question

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 $$a+b=$$

Infinity Learn · Accepted Answer

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, $$a+b=3$$

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 $(5, 3)$ is $a x + b y + c = 0$ then $a + b =$

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

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=

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

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 $(5, 3)$ is $a x + b y + c = 0$ then $a + b =$