Question

In: Math

Find the equation of line passing through the pair of points . Write the equation in the form of Ax+By=C . (2,3) (1,-4)

Find the equation of line passing through the pair of points . Write the equation in the form of Ax+By=C . (2,3) (1,-4)

 

Solutions

Expert Solution

Given points ->  (2,3)  (1,-4)

We know formula for slope (m) = y2-y1/x2-x1

Putting values we get 

m= -4-3/1-2

m= 7

Slope intercept form of equation is given by y= mx + b

We can find the value of b using slope and point (2,3) 

Which is y=7x+b

3=7(2)+b

b= -11

Now , y= mx + b

Equation can be written as y=7x-11

In the form of Ax + By= C it can be written as 7x-y=11

Which is the required solution

 

 

 

 

 

 


Equation of the line in the form of Ax+By=C is 7x-y=11

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